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Finding the Fourth Proportional to 834,338,822.40, 1,170,492,998.40 and 834,338,822.40

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Solution

The fourth proportional to 834,338,822.40, 1,170,492,998.40 and 834,338,822.40 is: 1,170,492,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,338,822.40 : 1,170,492,998.40 = 834,338,822.40 : x
  2. Step 2: Convert to fraction form
    834,338,822.40/1,170,492,998.40 = 834,338,822.40/x
  3. Step 3: Cross multiply
    834,338,822.40x = 1,170,492,998.40 × 834,338,822.40
  4. Step 4: Simplify right side
    834,338,822.40x = 976,587,749,912,501,120
  5. Step 5: Solve for x
    x = 976,587,749,912,501,120/834,338,822.40
  6. Step 6: Final answer
    x = 1,170,492,998.40

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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.