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Finding the Fourth Proportional to 806,827,503.40, 1,210,241,255.10 and 806,827,503.40

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Solution

The fourth proportional to 806,827,503.40, 1,210,241,255.10 and 806,827,503.40 is: 1,210,241,255.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,827,503.40 : 1,210,241,255.10 = 806,827,503.40 : x
  2. Step 2: Convert to fraction form
    806,827,503.40/1,210,241,255.10 = 806,827,503.40/x
  3. Step 3: Cross multiply
    806,827,503.40x = 1,210,241,255.10 × 806,827,503.40
  4. Step 4: Simplify right side
    806,827,503.40x = 976,455,930,364,015,360
  5. Step 5: Solve for x
    x = 976,455,930,364,015,360/806,827,503.40
  6. Step 6: Final answer
    x = 1,210,241,255.10

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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.