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Finding the Fourth Proportional to 60,492,893,447.60, 90,739,340,171.40 and 60,492,893,447.60

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Solution

The fourth proportional to 60,492,893,447.60, 90,739,340,171.40 and 60,492,893,447.60 is: 90,739,340,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,492,893,447.60 : 90,739,340,171.40 = 60,492,893,447.60 : x
  2. Step 2: Convert to fraction form
    60,492,893,447.60/90,739,340,171.40 = 60,492,893,447.60/x
  3. Step 3: Cross multiply
    60,492,893,447.60x = 90,739,340,171.40 × 60,492,893,447.60
  4. Step 4: Simplify right side
    60,492,893,447.60x = 5,489,085,236,494,029,815,808
  5. Step 5: Solve for x
    x = 5,489,085,236,494,029,815,808/60,492,893,447.60
  6. Step 6: Final answer
    x = 90,739,340,171.40

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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.