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Finding the Fourth Proportional to 48,499,152,023.10, 72,748,728,034.65 and 48,499,152,023.10

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Solution

The fourth proportional to 48,499,152,023.10, 72,748,728,034.65 and 48,499,152,023.10 is: 72,748,728,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,499,152,023.10 : 72,748,728,034.65 = 48,499,152,023.10 : x
  2. Step 2: Convert to fraction form
    48,499,152,023.10/72,748,728,034.65 = 48,499,152,023.10/x
  3. Step 3: Cross multiply
    48,499,152,023.10x = 72,748,728,034.65 × 48,499,152,023.10
  4. Step 4: Simplify right side
    48,499,152,023.10x = 3,528,251,620,439,646,797,824
  5. Step 5: Solve for x
    x = 3,528,251,620,439,646,797,824/48,499,152,023.10
  6. Step 6: Final answer
    x = 72,748,728,034.65

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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.