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Finding the Fourth Proportional to 6,598,015,330.65, 9,897,022,995.98 and 6,598,015,330.65

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Solution

The fourth proportional to 6,598,015,330.65, 9,897,022,995.98 and 6,598,015,330.65 is: 9,897,022,995.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598,015,330.65 : 9,897,022,995.98 = 6,598,015,330.65 : x
  2. Step 2: Convert to fraction form
    6,598,015,330.65/9,897,022,995.98 = 6,598,015,330.65/x
  3. Step 3: Cross multiply
    6,598,015,330.65x = 9,897,022,995.98 × 6,598,015,330.65
  4. Step 4: Simplify right side
    6,598,015,330.65x = 65,300,709,455,238,643,712
  5. Step 5: Solve for x
    x = 65,300,709,455,238,643,712/6,598,015,330.65
  6. Step 6: Final answer
    x = 9,897,022,995.98

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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.