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Finding the Fourth Proportional to 802,261,097.04, 1,106,712,859.92 and 523,965,522

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Solution

The fourth proportional to 802,261,097.04, 1,106,712,859.92 and 523,965,522 is: 722,806,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,261,097.04 : 1,106,712,859.92 = 523,965,522 : x
  2. Step 2: Convert to fraction form
    802,261,097.04/1,106,712,859.92 = 523,965,522/x
  3. Step 3: Cross multiply
    802,261,097.04x = 1,106,712,859.92 × 523,965,522
  4. Step 4: Simplify right side
    802,261,097.04x = 579,879,381,352,095,744
  5. Step 5: Solve for x
    x = 579,879,381,352,095,744/802,261,097.04
  6. Step 6: Final answer
    x = 722,806,307.69

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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.