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Finding the Fourth Proportional to 517,294,217.33, 714,799,813.83 and 368,356,766.49

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Solution

The fourth proportional to 517,294,217.33, 714,799,813.83 and 368,356,766.49 is: 508,997,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,294,217.33 : 714,799,813.83 = 368,356,766.49 : x
  2. Step 2: Convert to fraction form
    517,294,217.33/714,799,813.83 = 368,356,766.49/x
  3. Step 3: Cross multiply
    517,294,217.33x = 714,799,813.83 × 368,356,766.49
  4. Step 4: Simplify right side
    517,294,217.33x = 263,301,348,110,707,168
  5. Step 5: Solve for x
    x = 263,301,348,110,707,168/517,294,217.33
  6. Step 6: Final answer
    x = 508,997,277.16

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Why These Related Problems?

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