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Finding the Fourth Proportional to 68,397,695,999.10, 102,596,543,998.65 and 68,397,695,999.10

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Solution

The fourth proportional to 68,397,695,999.10, 102,596,543,998.65 and 68,397,695,999.10 is: 102,596,543,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,397,695,999.10 : 102,596,543,998.65 = 68,397,695,999.10 : x
  2. Step 2: Convert to fraction form
    68,397,695,999.10/102,596,543,998.65 = 68,397,695,999.10/x
  3. Step 3: Cross multiply
    68,397,695,999.10x = 102,596,543,998.65 × 68,397,695,999.10
  4. Step 4: Simplify right side
    68,397,695,999.10x = 7,017,367,226,977,949,319,168
  5. Step 5: Solve for x
    x = 7,017,367,226,977,949,319,168/68,397,695,999.10
  6. Step 6: Final answer
    x = 102,596,543,998.65

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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.