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Finding the Fourth Proportional to 344,374,861,502.70, 516,562,292,254.10 and 344,374,861,502.70

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Solution

The fourth proportional to 344,374,861,502.70, 516,562,292,254.10 and 344,374,861,502.70 is: 516,562,292,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,374,861,502.70 : 516,562,292,254.10 = 344,374,861,502.70 : x
  2. Step 2: Convert to fraction form
    344,374,861,502.70/516,562,292,254.10 = 344,374,861,502.70/x
  3. Step 3: Cross multiply
    344,374,861,502.70x = 516,562,292,254.10 × 344,374,861,502.70
  4. Step 4: Simplify right side
    344,374,861,502.70x = 177,891,067,852,522,929,520,640
  5. Step 5: Solve for x
    x = 177,891,067,852,522,929,520,640/344,374,861,502.70
  6. Step 6: Final answer
    x = 516,562,292,254.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.