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Finding the Fourth Proportional to 478,396,545.30, 671,569,148.70 and 478,396,545.30

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Solution

The fourth proportional to 478,396,545.30, 671,569,148.70 and 478,396,545.30 is: 671,569,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,396,545.30 : 671,569,148.70 = 478,396,545.30 : x
  2. Step 2: Convert to fraction form
    478,396,545.30/671,569,148.70 = 478,396,545.30/x
  3. Step 3: Cross multiply
    478,396,545.30x = 671,569,148.70 × 478,396,545.30
  4. Step 4: Simplify right side
    478,396,545.30x = 321,276,360,668,142,016
  5. Step 5: Solve for x
    x = 321,276,360,668,142,016/478,396,545.30
  6. Step 6: Final answer
    x = 671,569,148.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.