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Finding the Fourth Proportional to 506,898,124.60, 760,158,230.10 and 200,126,759.80

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Solution

The fourth proportional to 506,898,124.60, 760,158,230.10 and 200,126,759.80 is: 300,115,538.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,898,124.60 : 760,158,230.10 = 200,126,759.80 : x
  2. Step 2: Convert to fraction form
    506,898,124.60/760,158,230.10 = 200,126,759.80/x
  3. Step 3: Cross multiply
    506,898,124.60x = 760,158,230.10 × 200,126,759.80
  4. Step 4: Simplify right side
    506,898,124.60x = 152,128,003,525,215,840
  5. Step 5: Solve for x
    x = 152,128,003,525,215,840/506,898,124.60
  6. Step 6: Final answer
    x = 300,115,538.30

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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.