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Finding the Fourth Proportional to 468,488,283.84, 646,513,891.92 and 259,657,908.48

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Solution

The fourth proportional to 468,488,283.84, 646,513,891.92 and 259,657,908.48 is: 358,327,947.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,488,283.84 : 646,513,891.92 = 259,657,908.48 : x
  2. Step 2: Convert to fraction form
    468,488,283.84/646,513,891.92 = 259,657,908.48/x
  3. Step 3: Cross multiply
    468,488,283.84x = 646,513,891.92 × 259,657,908.48
  4. Step 4: Simplify right side
    468,488,283.84x = 167,872,444,979,211,968
  5. Step 5: Solve for x
    x = 167,872,444,979,211,968/468,488,283.84
  6. Step 6: Final answer
    x = 358,327,947.08

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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.