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Finding the Fourth Proportional to 567,687,945.16, 783,407,895.10 and 316,789,697.55

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Solution

The fourth proportional to 567,687,945.16, 783,407,895.10 and 316,789,697.55 is: 437,168,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,687,945.16 : 783,407,895.10 = 316,789,697.55 : x
  2. Step 2: Convert to fraction form
    567,687,945.16/783,407,895.10 = 316,789,697.55/x
  3. Step 3: Cross multiply
    567,687,945.16x = 783,407,895.10 × 316,789,697.55
  4. Step 4: Simplify right side
    567,687,945.16x = 248,175,550,147,011,136
  5. Step 5: Solve for x
    x = 248,175,550,147,011,136/567,687,945.16
  6. Step 6: Final answer
    x = 437,168,962.74

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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.