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Finding the Fourth Proportional to 307,241,569.35, 460,862,354.03 and 307,241,569.35

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Solution

The fourth proportional to 307,241,569.35, 460,862,354.03 and 307,241,569.35 is: 460,862,354.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,241,569.35 : 460,862,354.03 = 307,241,569.35 : x
  2. Step 2: Convert to fraction form
    307,241,569.35/460,862,354.03 = 307,241,569.35/x
  3. Step 3: Cross multiply
    307,241,569.35x = 460,862,354.03 × 307,241,569.35
  4. Step 4: Simplify right side
    307,241,569.35x = 141,596,072,904,976,288
  5. Step 5: Solve for x
    x = 141,596,072,904,976,288/307,241,569.35
  6. Step 6: Final answer
    x = 460,862,354.03

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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.