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Finding the Fourth Proportional to 995,646,773.40, 1,490,600,378.70 and 995,646,773.40

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Solution

The fourth proportional to 995,646,773.40, 1,490,600,378.70 and 995,646,773.40 is: 1,490,600,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    995,646,773.40 : 1,490,600,378.70 = 995,646,773.40 : x
  2. Step 2: Convert to fraction form
    995,646,773.40/1,490,600,378.70 = 995,646,773.40/x
  3. Step 3: Cross multiply
    995,646,773.40x = 1,490,600,378.70 × 995,646,773.40
  4. Step 4: Simplify right side
    995,646,773.40x = 1,484,111,457,481,473,024
  5. Step 5: Solve for x
    x = 1,484,111,457,481,473,024/995,646,773.40
  6. Step 6: Final answer
    x = 1,490,600,378.70

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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.