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Finding the Fourth Proportional to 1,430,787,009.30, 2,146,180,513.95 and 1,430,787,009.30

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Solution

The fourth proportional to 1,430,787,009.30, 2,146,180,513.95 and 1,430,787,009.30 is: 2,146,180,513.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,787,009.30 : 2,146,180,513.95 = 1,430,787,009.30 : x
  2. Step 2: Convert to fraction form
    1,430,787,009.30/2,146,180,513.95 = 1,430,787,009.30/x
  3. Step 3: Cross multiply
    1,430,787,009.30x = 2,146,180,513.95 × 1,430,787,009.30
  4. Step 4: Simplify right side
    1,430,787,009.30x = 3,070,727,198,972,457,472
  5. Step 5: Solve for x
    x = 3,070,727,198,972,457,472/1,430,787,009.30
  6. Step 6: Final answer
    x = 2,146,180,513.95

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.