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Finding the Fourth Proportional to 68,101,398,082.80, 102,152,097,124.20 and 68,101,398,082.80

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Solution

The fourth proportional to 68,101,398,082.80, 102,152,097,124.20 and 68,101,398,082.80 is: 102,152,097,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,101,398,082.80 : 102,152,097,124.20 = 68,101,398,082.80 : x
  2. Step 2: Convert to fraction form
    68,101,398,082.80/102,152,097,124.20 = 68,101,398,082.80/x
  3. Step 3: Cross multiply
    68,101,398,082.80x = 102,152,097,124.20 × 68,101,398,082.80
  4. Step 4: Simplify right side
    68,101,398,082.80x = 6,956,700,631,247,993,438,208
  5. Step 5: Solve for x
    x = 6,956,700,631,247,993,438,208/68,101,398,082.80
  6. Step 6: Final answer
    x = 102,152,097,124.20

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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.