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Finding the Fourth Proportional to 932,445,571.98, 1,397,978,829.54 and 563,898,589.96

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Solution

The fourth proportional to 932,445,571.98, 1,397,978,829.54 and 563,898,589.96 is: 845,430,891.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,445,571.98 : 1,397,978,829.54 = 563,898,589.96 : x
  2. Step 2: Convert to fraction form
    932,445,571.98/1,397,978,829.54 = 563,898,589.96/x
  3. Step 3: Cross multiply
    932,445,571.98x = 1,397,978,829.54 × 563,898,589.96
  4. Step 4: Simplify right side
    932,445,571.98x = 788,318,290,771,537,280
  5. Step 5: Solve for x
    x = 788,318,290,771,537,280/932,445,571.98
  6. Step 6: Final answer
    x = 845,430,891.05

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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.