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Finding the Fourth Proportional to 368,506,129,094.70, 552,759,193,642.05 and 368,506,129,094.70

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Solution

The fourth proportional to 368,506,129,094.70, 552,759,193,642.05 and 368,506,129,094.70 is: 552,759,193,642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,506,129,094.70 : 552,759,193,642.05 = 368,506,129,094.70 : x
  2. Step 2: Convert to fraction form
    368,506,129,094.70/552,759,193,642.05 = 368,506,129,094.70/x
  3. Step 3: Cross multiply
    368,506,129,094.70x = 552,759,193,642.05 × 368,506,129,094.70
  4. Step 4: Simplify right side
    368,506,129,094.70x = 203,695,150,770,539,586,387,968
  5. Step 5: Solve for x
    x = 203,695,150,770,539,586,387,968/368,506,129,094.70
  6. Step 6: Final answer
    x = 552,759,193,642.05

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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.