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Finding the Fourth Proportional to 76,684,968,009.40, 115,027,452,014.08 and 76,684,968,009.40

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Solution

The fourth proportional to 76,684,968,009.40, 115,027,452,014.08 and 76,684,968,009.40 is: 115,027,452,014.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,684,968,009.40 : 115,027,452,014.08 = 76,684,968,009.40 : x
  2. Step 2: Convert to fraction form
    76,684,968,009.40/115,027,452,014.08 = 76,684,968,009.40/x
  3. Step 3: Cross multiply
    76,684,968,009.40x = 115,027,452,014.08 × 76,684,968,009.40
  4. Step 4: Simplify right side
    76,684,968,009.40x = 8,820,876,477,902,517,960,704
  5. Step 5: Solve for x
    x = 8,820,876,477,902,517,960,704/76,684,968,009.40
  6. Step 6: Final answer
    x = 115,027,452,014.08

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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.