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Finding the Fourth Proportional to 30,320,358,697.20, 45,480,538,045.80 and 30,320,358,697.20

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Solution

The fourth proportional to 30,320,358,697.20, 45,480,538,045.80 and 30,320,358,697.20 is: 45,480,538,045.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,320,358,697.20 : 45,480,538,045.80 = 30,320,358,697.20 : x
  2. Step 2: Convert to fraction form
    30,320,358,697.20/45,480,538,045.80 = 30,320,358,697.20/x
  3. Step 3: Cross multiply
    30,320,358,697.20x = 45,480,538,045.80 × 30,320,358,697.20
  4. Step 4: Simplify right side
    30,320,358,697.20x = 1,378,986,227,290,307,559,424
  5. Step 5: Solve for x
    x = 1,378,986,227,290,307,559,424/30,320,358,697.20
  6. Step 6: Final answer
    x = 45,480,538,045.80

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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.