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Finding the Fourth Proportional to 60,266,944,000.10, 90,400,416,000.15 and 60,266,944,000.10

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Solution

The fourth proportional to 60,266,944,000.10, 90,400,416,000.15 and 60,266,944,000.10 is: 90,400,416,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,266,944,000.10 : 90,400,416,000.15 = 60,266,944,000.10 : x
  2. Step 2: Convert to fraction form
    60,266,944,000.10/90,400,416,000.15 = 60,266,944,000.10/x
  3. Step 3: Cross multiply
    60,266,944,000.10x = 90,400,416,000.15 × 60,266,944,000.10
  4. Step 4: Simplify right side
    60,266,944,000.10x = 5,448,156,808,666,783,154,176
  5. Step 5: Solve for x
    x = 5,448,156,808,666,783,154,176/60,266,944,000.10
  6. Step 6: Final answer
    x = 90,400,416,000.15

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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.