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Finding the Fourth Proportional to 932,445,562.98, 1,397,978,816.10 and 563,898,580.92

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Solution

The fourth proportional to 932,445,562.98, 1,397,978,816.10 and 563,898,580.92 is: 845,430,877.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,445,562.98 : 1,397,978,816.10 = 563,898,580.92 : x
  2. Step 2: Convert to fraction form
    932,445,562.98/1,397,978,816.10 = 563,898,580.92/x
  3. Step 3: Cross multiply
    932,445,562.98x = 1,397,978,816.10 × 563,898,580.92
  4. Step 4: Simplify right side
    932,445,562.98x = 788,318,270,555,011,584
  5. Step 5: Solve for x
    x = 788,318,270,555,011,584/932,445,562.98
  6. Step 6: Final answer
    x = 845,430,877.53

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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.