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Finding the Fourth Proportional to 6,065,981,085.60, 9,098,971,628.40 and 6,065,981,085.60

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Solution

The fourth proportional to 6,065,981,085.60, 9,098,971,628.40 and 6,065,981,085.60 is: 9,098,971,628.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065,981,085.60 : 9,098,971,628.40 = 6,065,981,085.60 : x
  2. Step 2: Convert to fraction form
    6,065,981,085.60/9,098,971,628.40 = 6,065,981,085.60/x
  3. Step 3: Cross multiply
    6,065,981,085.60x = 9,098,971,628.40 × 6,065,981,085.60
  4. Step 4: Simplify right side
    6,065,981,085.60x = 55,194,189,796,285,431,808
  5. Step 5: Solve for x
    x = 55,194,189,796,285,431,808/6,065,981,085.60
  6. Step 6: Final answer
    x = 9,098,971,628.40

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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.