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Finding the Fourth Proportional to 977,103.10, 1,465,654.65 and 977,103.10

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Solution

The fourth proportional to 977,103.10, 1,465,654.65 and 977,103.10 is: 1,465,654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,103.10 : 1,465,654.65 = 977,103.10 : x
  2. Step 2: Convert to fraction form
    977,103.10/1,465,654.65 = 977,103.10/x
  3. Step 3: Cross multiply
    977,103.10x = 1,465,654.65 × 977,103.10
  4. Step 4: Simplify right side
    977,103.10x = 1,432,095,702,044.41
  5. Step 5: Solve for x
    x = 1,432,095,702,044.41/977,103.10
  6. Step 6: Final answer
    x = 1,465,654.65

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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.