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Finding the Fourth Proportional to 114,666,009.20, 160,985,909.20 and 114,666,009.20

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Solution

The fourth proportional to 114,666,009.20, 160,985,909.20 and 114,666,009.20 is: 160,985,909.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,666,009.20 : 160,985,909.20 = 114,666,009.20 : x
  2. Step 2: Convert to fraction form
    114,666,009.20/160,985,909.20 = 114,666,009.20/x
  3. Step 3: Cross multiply
    114,666,009.20x = 160,985,909.20 × 114,666,009.20
  4. Step 4: Simplify right side
    114,666,009.20x = 18,459,611,745,397,564
  5. Step 5: Solve for x
    x = 18,459,611,745,397,564/114,666,009.20
  6. Step 6: Final answer
    x = 160,985,909.20

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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.