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Finding the Fourth Proportional to 6,378,060,460.80, 9,567,090,691.20 and 6,378,060,460.80

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Solution

The fourth proportional to 6,378,060,460.80, 9,567,090,691.20 and 6,378,060,460.80 is: 9,567,090,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378,060,460.80 : 9,567,090,691.20 = 6,378,060,460.80 : x
  2. Step 2: Convert to fraction form
    6,378,060,460.80/9,567,090,691.20 = 6,378,060,460.80/x
  3. Step 3: Cross multiply
    6,378,060,460.80x = 9,567,090,691.20 × 6,378,060,460.80
  4. Step 4: Simplify right side
    6,378,060,460.80x = 61,019,482,862,430,470,144
  5. Step 5: Solve for x
    x = 61,019,482,862,430,470,144/6,378,060,460.80
  6. Step 6: Final answer
    x = 9,567,090,691.20

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Double scale
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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.