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Finding the Fourth Proportional to 311,484,659.40, 467,226,989.10 and 311,484,659.40

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Solution

The fourth proportional to 311,484,659.40, 467,226,989.10 and 311,484,659.40 is: 467,226,989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,484,659.40 : 467,226,989.10 = 311,484,659.40 : x
  2. Step 2: Convert to fraction form
    311,484,659.40/467,226,989.10 = 311,484,659.40/x
  3. Step 3: Cross multiply
    311,484,659.40x = 467,226,989.10 × 311,484,659.40
  4. Step 4: Simplify right side
    311,484,659.40x = 145,534,039,562,301,024
  5. Step 5: Solve for x
    x = 145,534,039,562,301,024/311,484,659.40
  6. Step 6: Final answer
    x = 467,226,989.10

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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.