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Finding the Fourth Proportional to 797,339,817.40, 1,196,009,726.10 and 797,339,817.40

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Solution

The fourth proportional to 797,339,817.40, 1,196,009,726.10 and 797,339,817.40 is: 1,196,009,726.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,339,817.40 : 1,196,009,726.10 = 797,339,817.40 : x
  2. Step 2: Convert to fraction form
    797,339,817.40/1,196,009,726.10 = 797,339,817.40/x
  3. Step 3: Cross multiply
    797,339,817.40x = 1,196,009,726.10 × 797,339,817.40
  4. Step 4: Simplify right side
    797,339,817.40x = 953,626,176,617,197,952
  5. Step 5: Solve for x
    x = 953,626,176,617,197,952/797,339,817.40
  6. Step 6: Final answer
    x = 1,196,009,726.10

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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.