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Finding the Fourth Proportional to 405,374,645.70, 608,061,968.55 and 233,187,761.70

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Solution

The fourth proportional to 405,374,645.70, 608,061,968.55 and 233,187,761.70 is: 349,781,642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,374,645.70 : 608,061,968.55 = 233,187,761.70 : x
  2. Step 2: Convert to fraction form
    405,374,645.70/608,061,968.55 = 233,187,761.70/x
  3. Step 3: Cross multiply
    405,374,645.70x = 608,061,968.55 × 233,187,761.70
  4. Step 4: Simplify right side
    405,374,645.70x = 141,792,609,421,070,272
  5. Step 5: Solve for x
    x = 141,792,609,421,070,272/405,374,645.70
  6. Step 6: Final answer
    x = 349,781,642.55

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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.