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Finding the Fourth Proportional to 9,780,797,722.20, 14,671,196,583.30 and 9,780,797,722.20

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Solution

The fourth proportional to 9,780,797,722.20, 14,671,196,583.30 and 9,780,797,722.20 is: 14,671,196,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780,797,722.20 : 14,671,196,583.30 = 9,780,797,722.20 : x
  2. Step 2: Convert to fraction form
    9,780,797,722.20/14,671,196,583.30 = 9,780,797,722.20/x
  3. Step 3: Cross multiply
    9,780,797,722.20x = 14,671,196,583.30 × 9,780,797,722.20
  4. Step 4: Simplify right side
    9,780,797,722.20x = 143,496,006,123,889,065,984
  5. Step 5: Solve for x
    x = 143,496,006,123,889,065,984/9,780,797,722.20
  6. Step 6: Final answer
    x = 14,671,196,583.30

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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.