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Finding the Fourth Proportional to 564,776,723.80, 847,165,085.70 and 564,776,723.80

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Solution

The fourth proportional to 564,776,723.80, 847,165,085.70 and 564,776,723.80 is: 847,165,085.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,776,723.80 : 847,165,085.70 = 564,776,723.80 : x
  2. Step 2: Convert to fraction form
    564,776,723.80/847,165,085.70 = 564,776,723.80/x
  3. Step 3: Cross multiply
    564,776,723.80x = 847,165,085.70 × 564,776,723.80
  4. Step 4: Simplify right side
    564,776,723.80x = 478,459,121,619,392,192
  5. Step 5: Solve for x
    x = 478,459,121,619,392,192/564,776,723.80
  6. Step 6: Final answer
    x = 847,165,085.70

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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.