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Finding the Fourth Proportional to 7,674,912,658.40, 11,512,368,987.60 and 7,674,912,658.40

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Solution

The fourth proportional to 7,674,912,658.40, 11,512,368,987.60 and 7,674,912,658.40 is: 11,512,368,987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674,912,658.40 : 11,512,368,987.60 = 7,674,912,658.40 : x
  2. Step 2: Convert to fraction form
    7,674,912,658.40/11,512,368,987.60 = 7,674,912,658.40/x
  3. Step 3: Cross multiply
    7,674,912,658.40x = 11,512,368,987.60 × 7,674,912,658.40
  4. Step 4: Simplify right side
    7,674,912,658.40x = 88,356,426,471,102,824,448
  5. Step 5: Solve for x
    x = 88,356,426,471,102,824,448/7,674,912,658.40
  6. Step 6: Final answer
    x = 11,512,368,987.60

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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.