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Finding the Fourth Proportional to 40,193,856,004.05, 60,290,784,006.08 and 40,193,856,004.05

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Solution

The fourth proportional to 40,193,856,004.05, 60,290,784,006.08 and 40,193,856,004.05 is: 60,290,784,006.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,193,856,004.05 : 60,290,784,006.08 = 40,193,856,004.05 : x
  2. Step 2: Convert to fraction form
    40,193,856,004.05/60,290,784,006.08 = 40,193,856,004.05/x
  3. Step 3: Cross multiply
    40,193,856,004.05x = 60,290,784,006.08 × 40,193,856,004.05
  4. Step 4: Simplify right side
    40,193,856,004.05x = 2,423,319,090,711,499,374,592
  5. Step 5: Solve for x
    x = 2,423,319,090,711,499,374,592/40,193,856,004.05
  6. Step 6: Final answer
    x = 60,290,784,006.08

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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.