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Finding the Fourth Proportional to 105,660,205.20, 147,621,956.40 and 105,660,205.20

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Solution

The fourth proportional to 105,660,205.20, 147,621,956.40 and 105,660,205.20 is: 147,621,956.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,660,205.20 : 147,621,956.40 = 105,660,205.20 : x
  2. Step 2: Convert to fraction form
    105,660,205.20/147,621,956.40 = 105,660,205.20/x
  3. Step 3: Cross multiply
    105,660,205.20x = 147,621,956.40 × 105,660,205.20
  4. Step 4: Simplify right side
    105,660,205.20x = 15,597,766,205,249,454
  5. Step 5: Solve for x
    x = 15,597,766,205,249,454/105,660,205.20
  6. Step 6: Final answer
    x = 147,621,956.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.