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Finding the Fourth Proportional to 463,354,510.60, 695,021,138.70 and 233,261,806.60

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Solution

The fourth proportional to 463,354,510.60, 695,021,138.70 and 233,261,806.60 is: 349,887,359.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,354,510.60 : 695,021,138.70 = 233,261,806.60 : x
  2. Step 2: Convert to fraction form
    463,354,510.60/695,021,138.70 = 233,261,806.60/x
  3. Step 3: Cross multiply
    463,354,510.60x = 695,021,138.70 × 233,261,806.60
  4. Step 4: Simplify right side
    463,354,510.60x = 162,121,886,438,351,168
  5. Step 5: Solve for x
    x = 162,121,886,438,351,168/463,354,510.60
  6. Step 6: Final answer
    x = 349,887,359.96

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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.