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Finding the Fourth Proportional to 806,476,196.40, 1,209,714,294.60 and 806,476,196.40

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Solution

The fourth proportional to 806,476,196.40, 1,209,714,294.60 and 806,476,196.40 is: 1,209,714,294.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,476,196.40 : 1,209,714,294.60 = 806,476,196.40 : x
  2. Step 2: Convert to fraction form
    806,476,196.40/1,209,714,294.60 = 806,476,196.40/x
  3. Step 3: Cross multiply
    806,476,196.40x = 1,209,714,294.60 × 806,476,196.40
  4. Step 4: Simplify right side
    806,476,196.40x = 975,605,783,039,716,992
  5. Step 5: Solve for x
    x = 975,605,783,039,716,992/806,476,196.40
  6. Step 6: Final answer
    x = 1,209,714,294.60

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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.