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Finding the Fourth Proportional to 162,386,838.30, 243,580,257.45 and 162,386,838.30

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Solution

The fourth proportional to 162,386,838.30, 243,580,257.45 and 162,386,838.30 is: 243,580,257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,386,838.30 : 243,580,257.45 = 162,386,838.30 : x
  2. Step 2: Convert to fraction form
    162,386,838.30/243,580,257.45 = 162,386,838.30/x
  3. Step 3: Cross multiply
    162,386,838.30x = 243,580,257.45 × 162,386,838.30
  4. Step 4: Simplify right side
    162,386,838.30x = 39,554,227,879,605,520
  5. Step 5: Solve for x
    x = 39,554,227,879,605,520/162,386,838.30
  6. Step 6: Final answer
    x = 243,580,257.45

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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.