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Finding the Fourth Proportional to 973,341,841.72, 1,343,204,317 and 527,302,014.16

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Solution

The fourth proportional to 973,341,841.72, 1,343,204,317 and 527,302,014.16 is: 727,672,757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,341,841.72 : 1,343,204,317 = 527,302,014.16 : x
  2. Step 2: Convert to fraction form
    973,341,841.72/1,343,204,317 = 527,302,014.16/x
  3. Step 3: Cross multiply
    973,341,841.72x = 1,343,204,317 × 527,302,014.16
  4. Step 4: Simplify right side
    973,341,841.72x = 708,274,341,782,507,136
  5. Step 5: Solve for x
    x = 708,274,341,782,507,136/973,341,841.72
  6. Step 6: Final answer
    x = 727,672,757.32

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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.