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Finding the Fourth Proportional to 974,313,396.30, 1,461,470,094.45 and 664,377,005.10

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Solution

The fourth proportional to 974,313,396.30, 1,461,470,094.45 and 664,377,005.10 is: 996,565,507.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,313,396.30 : 1,461,470,094.45 = 664,377,005.10 : x
  2. Step 2: Convert to fraction form
    974,313,396.30/1,461,470,094.45 = 664,377,005.10/x
  3. Step 3: Cross multiply
    974,313,396.30x = 1,461,470,094.45 × 664,377,005.10
  4. Step 4: Simplify right side
    974,313,396.30x = 970,967,124,393,905,152
  5. Step 5: Solve for x
    x = 970,967,124,393,905,152/974,313,396.30
  6. Step 6: Final answer
    x = 996,565,507.65

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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.