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Finding the Fourth Proportional to 147,177,068,077.20, 220,765,602,115.80 and 147,177,068,077.20

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Solution

The fourth proportional to 147,177,068,077.20, 220,765,602,115.80 and 147,177,068,077.20 is: 220,765,602,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,177,068,077.20 : 220,765,602,115.80 = 147,177,068,077.20 : x
  2. Step 2: Convert to fraction form
    147,177,068,077.20/220,765,602,115.80 = 147,177,068,077.20/x
  3. Step 3: Cross multiply
    147,177,068,077.20x = 220,765,602,115.80 × 147,177,068,077.20
  4. Step 4: Simplify right side
    147,177,068,077.20x = 32,491,634,051,701,144,551,424
  5. Step 5: Solve for x
    x = 32,491,634,051,701,144,551,424/147,177,068,077.20
  6. Step 6: Final answer
    x = 220,765,602,115.80

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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.