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Finding the Fourth Proportional to 400,822,974.30, 601,234,461.45 and 400,822,974.30

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Solution

The fourth proportional to 400,822,974.30, 601,234,461.45 and 400,822,974.30 is: 601,234,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,822,974.30 : 601,234,461.45 = 400,822,974.30 : x
  2. Step 2: Convert to fraction form
    400,822,974.30/601,234,461.45 = 400,822,974.30/x
  3. Step 3: Cross multiply
    400,822,974.30x = 601,234,461.45 × 400,822,974.30
  4. Step 4: Simplify right side
    400,822,974.30x = 240,988,585,090,047,712
  5. Step 5: Solve for x
    x = 240,988,585,090,047,712/400,822,974.30
  6. Step 6: Final answer
    x = 601,234,461.45

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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.