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Finding the Fourth Proportional to 40,193,856,177.80, 60,290,784,266.70 and 40,193,856,177.80

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Solution

The fourth proportional to 40,193,856,177.80, 60,290,784,266.70 and 40,193,856,177.80 is: 60,290,784,266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,193,856,177.80 : 60,290,784,266.70 = 40,193,856,177.80 : x
  2. Step 2: Convert to fraction form
    40,193,856,177.80/60,290,784,266.70 = 40,193,856,177.80/x
  3. Step 3: Cross multiply
    40,193,856,177.80x = 60,290,784,266.70 × 40,193,856,177.80
  4. Step 4: Simplify right side
    40,193,856,177.80x = 2,423,319,111,662,507,130,880
  5. Step 5: Solve for x
    x = 2,423,319,111,662,507,130,880/40,193,856,177.80
  6. Step 6: Final answer
    x = 60,290,784,266.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.