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Finding the Fourth Proportional to 1,026,442,842.10, 1,440,647,949.50 and 1,026,442,842.10

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Solution

The fourth proportional to 1,026,442,842.10, 1,440,647,949.50 and 1,026,442,842.10 is: 1,440,647,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,442,842.10 : 1,440,647,949.50 = 1,026,442,842.10 : x
  2. Step 2: Convert to fraction form
    1,026,442,842.10/1,440,647,949.50 = 1,026,442,842.10/x
  3. Step 3: Cross multiply
    1,026,442,842.10x = 1,440,647,949.50 × 1,026,442,842.10
  4. Step 4: Simplify right side
    1,026,442,842.10x = 1,478,742,775,750,317,312
  5. Step 5: Solve for x
    x = 1,478,742,775,750,317,312/1,026,442,842.10
  6. Step 6: Final answer
    x = 1,440,647,949.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.