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Finding the Fourth Proportional to 66,008,643,310.80, 99,012,964,966.20 and 66,008,643,310.80

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Solution

The fourth proportional to 66,008,643,310.80, 99,012,964,966.20 and 66,008,643,310.80 is: 99,012,964,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,008,643,310.80 : 99,012,964,966.20 = 66,008,643,310.80 : x
  2. Step 2: Convert to fraction form
    66,008,643,310.80/99,012,964,966.20 = 66,008,643,310.80/x
  3. Step 3: Cross multiply
    66,008,643,310.80x = 99,012,964,966.20 × 66,008,643,310.80
  4. Step 4: Simplify right side
    66,008,643,310.80x = 6,535,711,487,598,632,370,176
  5. Step 5: Solve for x
    x = 6,535,711,487,598,632,370,176/66,008,643,310.80
  6. Step 6: Final answer
    x = 99,012,964,966.20

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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.