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Finding the Fourth Proportional to 531,287,488.39, 733,411,862.91 and 343,207,508.13

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Solution

The fourth proportional to 531,287,488.39, 733,411,862.91 and 343,207,508.13 is: 473,778,252.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,287,488.39 : 733,411,862.91 = 343,207,508.13 : x
  2. Step 2: Convert to fraction form
    531,287,488.39/733,411,862.91 = 343,207,508.13/x
  3. Step 3: Cross multiply
    531,287,488.39x = 733,411,862.91 × 343,207,508.13
  4. Step 4: Simplify right side
    531,287,488.39x = 251,712,457,902,322,240
  5. Step 5: Solve for x
    x = 251,712,457,902,322,240/531,287,488.39
  6. Step 6: Final answer
    x = 473,778,252.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.