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Finding the Fourth Proportional to 537,282,292.60, 804,579,746.10 and 429,786,868.60

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Solution

The fourth proportional to 537,282,292.60, 804,579,746.10 and 429,786,868.60 is: 643,605,446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,282,292.60 : 804,579,746.10 = 429,786,868.60 : x
  2. Step 2: Convert to fraction form
    537,282,292.60/804,579,746.10 = 429,786,868.60/x
  3. Step 3: Cross multiply
    537,282,292.60x = 804,579,746.10 × 429,786,868.60
  4. Step 4: Simplify right side
    537,282,292.60x = 345,797,809,615,302,080
  5. Step 5: Solve for x
    x = 345,797,809,615,302,080/537,282,292.60
  6. Step 6: Final answer
    x = 643,605,446.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.