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Finding the Fourth Proportional to 5,655,477,024,012.90, 8,483,215,536,019.20 and 5,655,477,024,012.90

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Solution

The fourth proportional to 5,655,477,024,012.90, 8,483,215,536,019.20 and 5,655,477,024,012.90 is: 8,483,215,536,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655,477,024,012.90 : 8,483,215,536,019.20 = 5,655,477,024,012.90 : x
  2. Step 2: Convert to fraction form
    5,655,477,024,012.90/8,483,215,536,019.20 = 5,655,477,024,012.90/x
  3. Step 3: Cross multiply
    5,655,477,024,012.90x = 8,483,215,536,019.20 × 5,655,477,024,012.90
  4. Step 4: Simplify right side
    5,655,477,024,012.90x = 47,976,630,553,705,864,153,268,224
  5. Step 5: Solve for x
    x = 47,976,630,553,705,864,153,268,224/5,655,477,024,012.90
  6. Step 6: Final answer
    x = 8,483,215,536,019.20

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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.