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Finding the Fourth Proportional to 1,539,364,564.40, 2,309,046,846.60 and 1,539,364,564.40

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Solution

The fourth proportional to 1,539,364,564.40, 2,309,046,846.60 and 1,539,364,564.40 is: 2,309,046,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539,364,564.40 : 2,309,046,846.60 = 1,539,364,564.40 : x
  2. Step 2: Convert to fraction form
    1,539,364,564.40/2,309,046,846.60 = 1,539,364,564.40/x
  3. Step 3: Cross multiply
    1,539,364,564.40x = 2,309,046,846.60 × 1,539,364,564.40
  4. Step 4: Simplify right side
    1,539,364,564.40x = 3,554,464,893,195,602,944
  5. Step 5: Solve for x
    x = 3,554,464,893,195,602,944/1,539,364,564.40
  6. Step 6: Final answer
    x = 2,309,046,846.60

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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.