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Finding the Fourth Proportional to 578,331,648,000.20, 867,497,472,000.30 and 578,331,648,000.20

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Solution

The fourth proportional to 578,331,648,000.20, 867,497,472,000.30 and 578,331,648,000.20 is: 867,497,472,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,331,648,000.20 : 867,497,472,000.30 = 578,331,648,000.20 : x
  2. Step 2: Convert to fraction form
    578,331,648,000.20/867,497,472,000.30 = 578,331,648,000.20/x
  3. Step 3: Cross multiply
    578,331,648,000.20x = 867,497,472,000.30 × 578,331,648,000.20
  4. Step 4: Simplify right side
    578,331,648,000.20x = 501,701,242,617,940,842,381,312
  5. Step 5: Solve for x
    x = 501,701,242,617,940,842,381,312/578,331,648,000.20
  6. Step 6: Final answer
    x = 867,497,472,000.30

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.