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Finding the Fourth Proportional to 310,068,000.70, 465,102,001.05 and 266,985,850.30

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Solution

The fourth proportional to 310,068,000.70, 465,102,001.05 and 266,985,850.30 is: 400,478,775.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,068,000.70 : 465,102,001.05 = 266,985,850.30 : x
  2. Step 2: Convert to fraction form
    310,068,000.70/465,102,001.05 = 266,985,850.30/x
  3. Step 3: Cross multiply
    310,068,000.70x = 465,102,001.05 × 266,985,850.30
  4. Step 4: Simplify right side
    310,068,000.70x = 124,175,653,226,565,744
  5. Step 5: Solve for x
    x = 124,175,653,226,565,744/310,068,000.70
  6. Step 6: Final answer
    x = 400,478,775.45

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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.