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Finding the Fourth Proportional to 974,311,842.40, 1,461,467,763.60 and 767,687,581.60

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Solution

The fourth proportional to 974,311,842.40, 1,461,467,763.60 and 767,687,581.60 is: 1,151,531,372.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,311,842.40 : 1,461,467,763.60 = 767,687,581.60 : x
  2. Step 2: Convert to fraction form
    974,311,842.40/1,461,467,763.60 = 767,687,581.60/x
  3. Step 3: Cross multiply
    974,311,842.40x = 1,461,467,763.60 × 767,687,581.60
  4. Step 4: Simplify right side
    974,311,842.40x = 1,121,950,653,024,444,416
  5. Step 5: Solve for x
    x = 1,121,950,653,024,444,416/974,311,842.40
  6. Step 6: Final answer
    x = 1,151,531,372.40

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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.