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Finding the Fourth Proportional to 910,689,748.60, 1,256,752,258.82 and 493,002,020.38

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Solution

The fourth proportional to 910,689,748.60, 1,256,752,258.82 and 493,002,020.38 is: 680,343,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,689,748.60 : 1,256,752,258.82 = 493,002,020.38 : x
  2. Step 2: Convert to fraction form
    910,689,748.60/1,256,752,258.82 = 493,002,020.38/x
  3. Step 3: Cross multiply
    910,689,748.60x = 1,256,752,258.82 × 493,002,020.38
  4. Step 4: Simplify right side
    910,689,748.60x = 619,581,402,715,388,672
  5. Step 5: Solve for x
    x = 619,581,402,715,388,672/910,689,748.60
  6. Step 6: Final answer
    x = 680,343,007.78

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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.