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Finding the Fourth Proportional to 2,654,735,998.40, 3,709,742,922.40 and 2,654,735,998.40

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Solution

The fourth proportional to 2,654,735,998.40, 3,709,742,922.40 and 2,654,735,998.40 is: 3,709,742,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654,735,998.40 : 3,709,742,922.40 = 2,654,735,998.40 : x
  2. Step 2: Convert to fraction form
    2,654,735,998.40/3,709,742,922.40 = 2,654,735,998.40/x
  3. Step 3: Cross multiply
    2,654,735,998.40x = 3,709,742,922.40 × 2,654,735,998.40
  4. Step 4: Simplify right side
    2,654,735,998.40x = 9,848,388,080,904,898,560
  5. Step 5: Solve for x
    x = 9,848,388,080,904,898,560/2,654,735,998.40
  6. Step 6: Final answer
    x = 3,709,742,922.40

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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.