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Finding the Fourth Proportional to 66,008,643,307.05, 99,012,964,960.58 and 66,008,643,307.05

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Solution

The fourth proportional to 66,008,643,307.05, 99,012,964,960.58 and 66,008,643,307.05 is: 99,012,964,960.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,008,643,307.05 : 99,012,964,960.58 = 66,008,643,307.05 : x
  2. Step 2: Convert to fraction form
    66,008,643,307.05/99,012,964,960.58 = 66,008,643,307.05/x
  3. Step 3: Cross multiply
    66,008,643,307.05x = 99,012,964,960.58 × 66,008,643,307.05
  4. Step 4: Simplify right side
    66,008,643,307.05x = 6,535,711,486,856,035,041,280
  5. Step 5: Solve for x
    x = 6,535,711,486,856,035,041,280/66,008,643,307.05
  6. Step 6: Final answer
    x = 99,012,964,960.58

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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.