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Finding the Fourth Proportional to 6,413,742,414.40, 8,991,483,780.80 and 6,413,742,414.40

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Solution

The fourth proportional to 6,413,742,414.40, 8,991,483,780.80 and 6,413,742,414.40 is: 8,991,483,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413,742,414.40 : 8,991,483,780.80 = 6,413,742,414.40 : x
  2. Step 2: Convert to fraction form
    6,413,742,414.40/8,991,483,780.80 = 6,413,742,414.40/x
  3. Step 3: Cross multiply
    6,413,742,414.40x = 8,991,483,780.80 × 6,413,742,414.40
  4. Step 4: Simplify right side
    6,413,742,414.40x = 57,669,060,893,306,626,048
  5. Step 5: Solve for x
    x = 57,669,060,893,306,626,048/6,413,742,414.40
  6. Step 6: Final answer
    x = 8,991,483,780.80

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Double scale
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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.