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Finding the Fourth Proportional to 191,459,862.30, 287,189,793.45 and 191,459,862.30

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Solution

The fourth proportional to 191,459,862.30, 287,189,793.45 and 191,459,862.30 is: 287,189,793.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,459,862.30 : 287,189,793.45 = 191,459,862.30 : x
  2. Step 2: Convert to fraction form
    191,459,862.30/287,189,793.45 = 191,459,862.30/x
  3. Step 3: Cross multiply
    191,459,862.30x = 287,189,793.45 × 191,459,862.30
  4. Step 4: Simplify right side
    191,459,862.30x = 54,985,318,307,902,440
  5. Step 5: Solve for x
    x = 54,985,318,307,902,440/191,459,862.30
  6. Step 6: Final answer
    x = 287,189,793.45

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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.