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Finding the Fourth Proportional to 564,724,216.30, 847,086,324.45 and 564,724,216.30

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Solution

The fourth proportional to 564,724,216.30, 847,086,324.45 and 564,724,216.30 is: 847,086,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,724,216.30 : 847,086,324.45 = 564,724,216.30 : x
  2. Step 2: Convert to fraction form
    564,724,216.30/847,086,324.45 = 564,724,216.30/x
  3. Step 3: Cross multiply
    564,724,216.30x = 847,086,324.45 × 564,724,216.30
  4. Step 4: Simplify right side
    564,724,216.30x = 478,370,160,713,473,792
  5. Step 5: Solve for x
    x = 478,370,160,713,473,792/564,724,216.30
  6. Step 6: Final answer
    x = 847,086,324.45

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Double scale
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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.