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Finding the Fourth Proportional to 368,506,129,089.07, 552,759,193,633.60 and 368,506,129,089.07

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Solution

The fourth proportional to 368,506,129,089.07, 552,759,193,633.60 and 368,506,129,089.07 is: 552,759,193,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,506,129,089.07 : 552,759,193,633.60 = 368,506,129,089.07 : x
  2. Step 2: Convert to fraction form
    368,506,129,089.07/552,759,193,633.60 = 368,506,129,089.07/x
  3. Step 3: Cross multiply
    368,506,129,089.07x = 552,759,193,633.60 × 368,506,129,089.07
  4. Step 4: Simplify right side
    368,506,129,089.07x = 203,695,150,764,313,628,639,232
  5. Step 5: Solve for x
    x = 203,695,150,764,313,628,639,232/368,506,129,089.07
  6. Step 6: Final answer
    x = 552,759,193,633.60

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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.