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Finding the Fourth Proportional to 105,633,609.60, 147,987,830.40 and 105,633,609.60

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Solution

The fourth proportional to 105,633,609.60, 147,987,830.40 and 105,633,609.60 is: 147,987,830.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,633,609.60 : 147,987,830.40 = 105,633,609.60 : x
  2. Step 2: Convert to fraction form
    105,633,609.60/147,987,830.40 = 105,633,609.60/x
  3. Step 3: Cross multiply
    105,633,609.60x = 147,987,830.40 × 105,633,609.60
  4. Step 4: Simplify right side
    105,633,609.60x = 15,632,488,702,024,612
  5. Step 5: Solve for x
    x = 15,632,488,702,024,612/105,633,609.60
  6. Step 6: Final answer
    x = 147,987,830.40

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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.