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Finding the Fourth Proportional to 340,598,864.40, 510,898,296.60 and 233,103,440.40

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Solution

The fourth proportional to 340,598,864.40, 510,898,296.60 and 233,103,440.40 is: 349,655,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,598,864.40 : 510,898,296.60 = 233,103,440.40 : x
  2. Step 2: Convert to fraction form
    340,598,864.40/510,898,296.60 = 233,103,440.40/x
  3. Step 3: Cross multiply
    340,598,864.40x = 510,898,296.60 × 233,103,440.40
  4. Step 4: Simplify right side
    340,598,864.40x = 119,092,150,631,959,632
  5. Step 5: Solve for x
    x = 119,092,150,631,959,632/340,598,864.40
  6. Step 6: Final answer
    x = 349,655,160.60

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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.