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Finding the Fourth Proportional to 932,445,575.73, 1,397,978,835.16 and 563,898,593.70

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Solution

The fourth proportional to 932,445,575.73, 1,397,978,835.16 and 563,898,593.70 is: 845,430,896.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,445,575.73 : 1,397,978,835.16 = 563,898,593.70 : x
  2. Step 2: Convert to fraction form
    932,445,575.73/1,397,978,835.16 = 563,898,593.70/x
  3. Step 3: Cross multiply
    932,445,575.73x = 1,397,978,835.16 × 563,898,593.70
  4. Step 4: Simplify right side
    932,445,575.73x = 788,318,299,169,088,256
  5. Step 5: Solve for x
    x = 788,318,299,169,088,256/932,445,575.73
  6. Step 6: Final answer
    x = 845,430,896.65

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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.