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Finding the Fourth Proportional to 778,719,430,060.10, 1,168,079,145,090.10 and 778,719,430,060.10

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Solution

The fourth proportional to 778,719,430,060.10, 1,168,079,145,090.10 and 778,719,430,060.10 is: 1,168,079,145,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,719,430,060.10 : 1,168,079,145,090.10 = 778,719,430,060.10 : x
  2. Step 2: Convert to fraction form
    778,719,430,060.10/1,168,079,145,090.10 = 778,719,430,060.10/x
  3. Step 3: Cross multiply
    778,719,430,060.10x = 1,168,079,145,090.10 × 778,719,430,060.10
  4. Step 4: Simplify right side
    778,719,430,060.10x = 909,605,926,129,651,582,763,008
  5. Step 5: Solve for x
    x = 909,605,926,129,651,582,763,008/778,719,430,060.10
  6. Step 6: Final answer
    x = 1,168,079,145,090.10

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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.