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Finding the Fourth Proportional to 4,524,833,016,005.40, 6,787,249,524,008.40 and 4,524,833,016,005.40

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Solution

The fourth proportional to 4,524,833,016,005.40, 6,787,249,524,008.40 and 4,524,833,016,005.40 is: 6,787,249,524,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524,833,016,005.40 : 6,787,249,524,008.40 = 4,524,833,016,005.40 : x
  2. Step 2: Convert to fraction form
    4,524,833,016,005.40/6,787,249,524,008.40 = 4,524,833,016,005.40/x
  3. Step 3: Cross multiply
    4,524,833,016,005.40x = 6,787,249,524,008.40 × 4,524,833,016,005.40
  4. Step 4: Simplify right side
    4,524,833,016,005.40x = 30,711,170,734,100,146,726,895,616
  5. Step 5: Solve for x
    x = 30,711,170,734,100,146,726,895,616/4,524,833,016,005.40
  6. Step 6: Final answer
    x = 6,787,249,524,008.40

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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.