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Finding the Fourth Proportional to 67,878,458,999.60, 101,817,688,499.40 and 67,878,458,999.60

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Solution

The fourth proportional to 67,878,458,999.60, 101,817,688,499.40 and 67,878,458,999.60 is: 101,817,688,499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,878,458,999.60 : 101,817,688,499.40 = 67,878,458,999.60 : x
  2. Step 2: Convert to fraction form
    67,878,458,999.60/101,817,688,499.40 = 67,878,458,999.60/x
  3. Step 3: Cross multiply
    67,878,458,999.60x = 101,817,688,499.40 × 67,878,458,999.60
  4. Step 4: Simplify right side
    67,878,458,999.60x = 6,911,227,794,240,567,246,848
  5. Step 5: Solve for x
    x = 6,911,227,794,240,567,246,848/67,878,458,999.60
  6. Step 6: Final answer
    x = 101,817,688,499.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.