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Finding the Fourth Proportional to 3,691,008,064.65, 5,157,736,702.35 and 3,691,008,064.65

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Solution

The fourth proportional to 3,691,008,064.65, 5,157,736,702.35 and 3,691,008,064.65 is: 5,157,736,702.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691,008,064.65 : 5,157,736,702.35 = 3,691,008,064.65 : x
  2. Step 2: Convert to fraction form
    3,691,008,064.65/5,157,736,702.35 = 3,691,008,064.65/x
  3. Step 3: Cross multiply
    3,691,008,064.65x = 5,157,736,702.35 × 3,691,008,064.65
  4. Step 4: Simplify right side
    3,691,008,064.65x = 19,037,247,763,715,149,824
  5. Step 5: Solve for x
    x = 19,037,247,763,715,149,824/3,691,008,064.65
  6. Step 6: Final answer
    x = 5,157,736,702.35

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1.5x scale

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.