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Finding the Fourth Proportional to 806,475,494.40, 1,209,713,241.60 and 806,475,494.40

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Solution

The fourth proportional to 806,475,494.40, 1,209,713,241.60 and 806,475,494.40 is: 1,209,713,241.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,475,494.40 : 1,209,713,241.60 = 806,475,494.40 : x
  2. Step 2: Convert to fraction form
    806,475,494.40/1,209,713,241.60 = 806,475,494.40/x
  3. Step 3: Cross multiply
    806,475,494.40x = 1,209,713,241.60 × 806,475,494.40
  4. Step 4: Simplify right side
    806,475,494.40x = 975,604,084,601,586,560
  5. Step 5: Solve for x
    x = 975,604,084,601,586,560/806,475,494.40
  6. Step 6: Final answer
    x = 1,209,713,241.60

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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.