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Finding the Fourth Proportional to 534,854,718.70, 802,282,078.05 and 488,938,216.30

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Solution

The fourth proportional to 534,854,718.70, 802,282,078.05 and 488,938,216.30 is: 733,407,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,854,718.70 : 802,282,078.05 = 488,938,216.30 : x
  2. Step 2: Convert to fraction form
    534,854,718.70/802,282,078.05 = 488,938,216.30/x
  3. Step 3: Cross multiply
    534,854,718.70x = 802,282,078.05 × 488,938,216.30
  4. Step 4: Simplify right side
    534,854,718.70x = 392,266,368,211,224,384
  5. Step 5: Solve for x
    x = 392,266,368,211,224,384/534,854,718.70
  6. Step 6: Final answer
    x = 733,407,324.45

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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.