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Finding the Fourth Proportional to 977,445,044.30, 1,466,167,566.45 and 977,445,044.30

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Solution

The fourth proportional to 977,445,044.30, 1,466,167,566.45 and 977,445,044.30 is: 1,466,167,566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,445,044.30 : 1,466,167,566.45 = 977,445,044.30 : x
  2. Step 2: Convert to fraction form
    977,445,044.30/1,466,167,566.45 = 977,445,044.30/x
  3. Step 3: Cross multiply
    977,445,044.30x = 1,466,167,566.45 × 977,445,044.30
  4. Step 4: Simplify right side
    977,445,044.30x = 1,433,098,221,939,943,424
  5. Step 5: Solve for x
    x = 1,433,098,221,939,943,424/977,445,044.30
  6. Step 6: Final answer
    x = 1,466,167,566.45

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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.