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Finding the Fourth Proportional to 402,409,243.20, 603,613,864.80 and 345,013,615.20

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Solution

The fourth proportional to 402,409,243.20, 603,613,864.80 and 345,013,615.20 is: 517,520,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,409,243.20 : 603,613,864.80 = 345,013,615.20 : x
  2. Step 2: Convert to fraction form
    402,409,243.20/603,613,864.80 = 345,013,615.20/x
  3. Step 3: Cross multiply
    402,409,243.20x = 603,613,864.80 × 345,013,615.20
  4. Step 4: Simplify right side
    402,409,243.20x = 208,255,001,679,492,000
  5. Step 5: Solve for x
    x = 208,255,001,679,492,000/402,409,243.20
  6. Step 6: Final answer
    x = 517,520,422.80

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