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Finding the Fourth Proportional to 468,484,633.98, 646,508,854.80 and 259,654,258.80

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Solution

The fourth proportional to 468,484,633.98, 646,508,854.80 and 259,654,258.80 is: 358,322,910.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,484,633.98 : 646,508,854.80 = 259,654,258.80 : x
  2. Step 2: Convert to fraction form
    468,484,633.98/646,508,854.80 = 259,654,258.80/x
  3. Step 3: Cross multiply
    468,484,633.98x = 646,508,854.80 × 259,654,258.80
  4. Step 4: Simplify right side
    468,484,633.98x = 167,868,777,500,730,816
  5. Step 5: Solve for x
    x = 167,868,777,500,730,816/468,484,633.98
  6. Step 6: Final answer
    x = 358,322,910.35

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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.