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Finding the Fourth Proportional to 772,290,375,999.60, 1,158,435,563,999.40 and 772,290,375,999.60

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Solution

The fourth proportional to 772,290,375,999.60, 1,158,435,563,999.40 and 772,290,375,999.60 is: 1,158,435,563,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,290,375,999.60 : 1,158,435,563,999.40 = 772,290,375,999.60 : x
  2. Step 2: Convert to fraction form
    772,290,375,999.60/1,158,435,563,999.40 = 772,290,375,999.60/x
  3. Step 3: Cross multiply
    772,290,375,999.60x = 1,158,435,563,999.40 × 772,290,375,999.60
  4. Step 4: Simplify right side
    772,290,375,999.60x = 894,648,637,292,405,235,646,464
  5. Step 5: Solve for x
    x = 894,648,637,292,405,235,646,464/772,290,375,999.60
  6. Step 6: Final answer
    x = 1,158,435,563,999.40

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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.