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Finding the Fourth Proportional to 9,780,797,965.20, 14,671,196,947.80 and 9,780,797,965.20

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Solution

The fourth proportional to 9,780,797,965.20, 14,671,196,947.80 and 9,780,797,965.20 is: 14,671,196,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780,797,965.20 : 14,671,196,947.80 = 9,780,797,965.20 : x
  2. Step 2: Convert to fraction form
    9,780,797,965.20/14,671,196,947.80 = 9,780,797,965.20/x
  3. Step 3: Cross multiply
    9,780,797,965.20x = 14,671,196,947.80 × 9,780,797,965.20
  4. Step 4: Simplify right side
    9,780,797,965.20x = 143,496,013,254,090,686,464
  5. Step 5: Solve for x
    x = 143,496,013,254,090,686,464/9,780,797,965.20
  6. Step 6: Final answer
    x = 14,671,196,947.80

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Double scale
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1.5x scale

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.