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Finding the Fourth Proportional to 6,306,689,600.10, 9,460,034,400.15 and 6,306,689,600.10

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Solution

The fourth proportional to 6,306,689,600.10, 9,460,034,400.15 and 6,306,689,600.10 is: 9,460,034,400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306,689,600.10 : 9,460,034,400.15 = 6,306,689,600.10 : x
  2. Step 2: Convert to fraction form
    6,306,689,600.10/9,460,034,400.15 = 6,306,689,600.10/x
  3. Step 3: Cross multiply
    6,306,689,600.10x = 9,460,034,400.15 × 6,306,689,600.10
  4. Step 4: Simplify right side
    6,306,689,600.10x = 59,661,500,568,014,249,984
  5. Step 5: Solve for x
    x = 59,661,500,568,014,249,984/6,306,689,600.10
  6. Step 6: Final answer
    x = 9,460,034,400.15

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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.