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Finding the Fourth Proportional to 314,828,471.50, 434,464,800.10 and 173,699,684.33

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Solution

The fourth proportional to 314,828,471.50, 434,464,800.10 and 173,699,684.33 is: 239,706,397.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,828,471.50 : 434,464,800.10 = 173,699,684.33 : x
  2. Step 2: Convert to fraction form
    314,828,471.50/434,464,800.10 = 173,699,684.33/x
  3. Step 3: Cross multiply
    314,828,471.50x = 434,464,800.10 × 173,699,684.33
  4. Step 4: Simplify right side
    314,828,471.50x = 75,466,398,627,259,984
  5. Step 5: Solve for x
    x = 75,466,398,627,259,984/314,828,471.50
  6. Step 6: Final answer
    x = 239,706,397.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.