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Finding the Fourth Proportional to 567,687,946.66, 783,407,897.17 and 316,789,699.05

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Solution

The fourth proportional to 567,687,946.66, 783,407,897.17 and 316,789,699.05 is: 437,168,964.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,687,946.66 : 783,407,897.17 = 316,789,699.05 : x
  2. Step 2: Convert to fraction form
    567,687,946.66/783,407,897.17 = 316,789,699.05/x
  3. Step 3: Cross multiply
    567,687,946.66x = 783,407,897.17 × 316,789,699.05
  4. Step 4: Simplify right side
    567,687,946.66x = 248,175,551,977,877,632
  5. Step 5: Solve for x
    x = 248,175,551,977,877,632/567,687,946.66
  6. Step 6: Final answer
    x = 437,168,964.81

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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.