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Finding the Fourth Proportional to 869,364,029.10, 1,304,046,043.65 and 783,367,689.90

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Solution

The fourth proportional to 869,364,029.10, 1,304,046,043.65 and 783,367,689.90 is: 1,175,051,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,364,029.10 : 1,304,046,043.65 = 783,367,689.90 : x
  2. Step 2: Convert to fraction form
    869,364,029.10/1,304,046,043.65 = 783,367,689.90/x
  3. Step 3: Cross multiply
    869,364,029.10x = 1,304,046,043.65 × 783,367,689.90
  4. Step 4: Simplify right side
    869,364,029.10x = 1,021,547,536,737,335,168
  5. Step 5: Solve for x
    x = 1,021,547,536,737,335,168/869,364,029.10
  6. Step 6: Final answer
    x = 1,175,051,534.85

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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.