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Finding the Fourth Proportional to 32,462,187,777.90, 48,693,281,666.85 and 32,462,187,777.90

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Solution

The fourth proportional to 32,462,187,777.90, 48,693,281,666.85 and 32,462,187,777.90 is: 48,693,281,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,462,187,777.90 : 48,693,281,666.85 = 32,462,187,777.90 : x
  2. Step 2: Convert to fraction form
    32,462,187,777.90/48,693,281,666.85 = 32,462,187,777.90/x
  3. Step 3: Cross multiply
    32,462,187,777.90x = 48,693,281,666.85 × 32,462,187,777.90
  4. Step 4: Simplify right side
    32,462,187,777.90x = 1,580,690,452,991,460,245,504
  5. Step 5: Solve for x
    x = 1,580,690,452,991,460,245,504/32,462,187,777.90
  6. Step 6: Final answer
    x = 48,693,281,666.85

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1.5x scale

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.