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Finding the Fourth Proportional to 749,818,948.74, 1,034,671,375.13 and 415,282,707.69

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Solution

The fourth proportional to 749,818,948.74, 1,034,671,375.13 and 415,282,707.69 is: 573,046,508.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,818,948.74 : 1,034,671,375.13 = 415,282,707.69 : x
  2. Step 2: Convert to fraction form
    749,818,948.74/1,034,671,375.13 = 415,282,707.69/x
  3. Step 3: Cross multiply
    749,818,948.74x = 1,034,671,375.13 × 415,282,707.69
  4. Step 4: Simplify right side
    749,818,948.74x = 429,681,130,231,245,696
  5. Step 5: Solve for x
    x = 429,681,130,231,245,696/749,818,948.74
  6. Step 6: Final answer
    x = 573,046,508.03

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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.