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Finding the Fourth Proportional to 103,442,913,002.20, 155,164,369,503.30 and 103,442,913,002.20

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Solution

The fourth proportional to 103,442,913,002.20, 155,164,369,503.30 and 103,442,913,002.20 is: 155,164,369,503.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,442,913,002.20 : 155,164,369,503.30 = 103,442,913,002.20 : x
  2. Step 2: Convert to fraction form
    103,442,913,002.20/155,164,369,503.30 = 103,442,913,002.20/x
  3. Step 3: Cross multiply
    103,442,913,002.20x = 155,164,369,503.30 × 103,442,913,002.20
  4. Step 4: Simplify right side
    103,442,913,002.20x = 16,050,654,375,571,074,580,480
  5. Step 5: Solve for x
    x = 16,050,654,375,571,074,580,480/103,442,913,002.20
  6. Step 6: Final answer
    x = 155,164,369,503.30

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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.