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Finding the Fourth Proportional to 105,771,966.40, 158,359,351.20 and 105,771,966.40

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Solution

The fourth proportional to 105,771,966.40, 158,359,351.20 and 105,771,966.40 is: 158,359,351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,771,966.40 : 158,359,351.20 = 105,771,966.40 : x
  2. Step 2: Convert to fraction form
    105,771,966.40/158,359,351.20 = 105,771,966.40/x
  3. Step 3: Cross multiply
    105,771,966.40x = 158,359,351.20 × 105,771,966.40
  4. Step 4: Simplify right side
    105,771,966.40x = 16,749,979,974,252,200
  5. Step 5: Solve for x
    x = 16,749,979,974,252,200/105,771,966.40
  6. Step 6: Final answer
    x = 158,359,351.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.