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Finding the Fourth Proportional to 806,476,101.90, 1,209,714,152.85 and 806,476,101.90

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Solution

The fourth proportional to 806,476,101.90, 1,209,714,152.85 and 806,476,101.90 is: 1,209,714,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,476,101.90 : 1,209,714,152.85 = 806,476,101.90 : x
  2. Step 2: Convert to fraction form
    806,476,101.90/1,209,714,152.85 = 806,476,101.90/x
  3. Step 3: Cross multiply
    806,476,101.90x = 1,209,714,152.85 × 806,476,101.90
  4. Step 4: Simplify right side
    806,476,101.90x = 975,605,554,403,728,640
  5. Step 5: Solve for x
    x = 975,605,554,403,728,640/806,476,101.90
  6. Step 6: Final answer
    x = 1,209,714,152.85

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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.