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Finding the Fourth Proportional to 101,817,688,517.02, 152,726,532,775.53 and 101,817,688,517.02

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Solution

The fourth proportional to 101,817,688,517.02, 152,726,532,775.53 and 101,817,688,517.02 is: 152,726,532,775.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,817,688,517.02 : 152,726,532,775.53 = 101,817,688,517.02 : x
  2. Step 2: Convert to fraction form
    101,817,688,517.02/152,726,532,775.53 = 101,817,688,517.02/x
  3. Step 3: Cross multiply
    101,817,688,517.02x = 152,726,532,775.53 × 101,817,688,517.02
  4. Step 4: Simplify right side
    101,817,688,517.02x = 15,550,262,542,423,361,060,864
  5. Step 5: Solve for x
    x = 15,550,262,542,423,361,060,864/101,817,688,517.02
  6. Step 6: Final answer
    x = 152,726,532,775.53

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1.5x scale

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.