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Finding the Fourth Proportional to 60,466,178,830.40, 90,699,268,245.60 and 60,466,178,830.40

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Solution

The fourth proportional to 60,466,178,830.40, 90,699,268,245.60 and 60,466,178,830.40 is: 90,699,268,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,466,178,830.40 : 90,699,268,245.60 = 60,466,178,830.40 : x
  2. Step 2: Convert to fraction form
    60,466,178,830.40/90,699,268,245.60 = 60,466,178,830.40/x
  3. Step 3: Cross multiply
    60,466,178,830.40x = 90,699,268,245.60 × 60,466,178,830.40
  4. Step 4: Simplify right side
    60,466,178,830.40x = 5,484,238,173,524,870,561,792
  5. Step 5: Solve for x
    x = 5,484,238,173,524,870,561,792/60,466,178,830.40
  6. Step 6: Final answer
    x = 90,699,268,245.60

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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.