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Finding the Fourth Proportional to 90,699,342,406.40, 126,685,213,753.60 and 90,699,342,406.40

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Solution

The fourth proportional to 90,699,342,406.40, 126,685,213,753.60 and 90,699,342,406.40 is: 126,685,213,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,699,342,406.40 : 126,685,213,753.60 = 90,699,342,406.40 : x
  2. Step 2: Convert to fraction form
    90,699,342,406.40/126,685,213,753.60 = 90,699,342,406.40/x
  3. Step 3: Cross multiply
    90,699,342,406.40x = 126,685,213,753.60 × 90,699,342,406.40
  4. Step 4: Simplify right side
    90,699,342,406.40x = 11,490,265,580,065,739,767,808
  5. Step 5: Solve for x
    x = 11,490,265,580,065,739,767,808/90,699,342,406.40
  6. Step 6: Final answer
    x = 126,685,213,753.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.