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Finding the Fourth Proportional to 260,047,534,808.80, 390,071,302,213.20 and 260,047,534,808.80

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Solution

The fourth proportional to 260,047,534,808.80, 390,071,302,213.20 and 260,047,534,808.80 is: 390,071,302,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,047,534,808.80 : 390,071,302,213.20 = 260,047,534,808.80 : x
  2. Step 2: Convert to fraction form
    260,047,534,808.80/390,071,302,213.20 = 260,047,534,808.80/x
  3. Step 3: Cross multiply
    260,047,534,808.80x = 390,071,302,213.20 × 260,047,534,808.80
  4. Step 4: Simplify right side
    260,047,534,808.80x = 101,437,080,540,201,074,294,784
  5. Step 5: Solve for x
    x = 101,437,080,540,201,074,294,784/260,047,534,808.80
  6. Step 6: Final answer
    x = 390,071,302,213.20

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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.