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Finding the Fourth Proportional to 6,520,532,005.80, 9,780,798,008.70 and 6,520,532,005.80

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Solution

The fourth proportional to 6,520,532,005.80, 9,780,798,008.70 and 6,520,532,005.80 is: 9,780,798,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520,532,005.80 : 9,780,798,008.70 = 6,520,532,005.80 : x
  2. Step 2: Convert to fraction form
    6,520,532,005.80/9,780,798,008.70 = 6,520,532,005.80/x
  3. Step 3: Cross multiply
    6,520,532,005.80x = 9,780,798,008.70 × 6,520,532,005.80
  4. Step 4: Simplify right side
    6,520,532,005.80x = 63,776,006,457,993,265,152
  5. Step 5: Solve for x
    x = 63,776,006,457,993,265,152/6,520,532,005.80
  6. Step 6: Final answer
    x = 9,780,798,008.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.