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Finding the Fourth Proportional to 106,023,249,000.90, 159,034,873,501.35 and 106,023,249,000.90

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Solution

The fourth proportional to 106,023,249,000.90, 159,034,873,501.35 and 106,023,249,000.90 is: 159,034,873,501.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,023,249,000.90 : 159,034,873,501.35 = 106,023,249,000.90 : x
  2. Step 2: Convert to fraction form
    106,023,249,000.90/159,034,873,501.35 = 106,023,249,000.90/x
  3. Step 3: Cross multiply
    106,023,249,000.90x = 159,034,873,501.35 × 106,023,249,000.90
  4. Step 4: Simplify right side
    106,023,249,000.90x = 16,861,393,993,060,264,706,048
  5. Step 5: Solve for x
    x = 16,861,393,993,060,264,706,048/106,023,249,000.90
  6. Step 6: Final answer
    x = 159,034,873,501.35

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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.