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Finding the Fourth Proportional to 985,997,963.80, 1,478,996,945.70 and 699,343,499.80

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Solution

The fourth proportional to 985,997,963.80, 1,478,996,945.70 and 699,343,499.80 is: 1,049,015,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,997,963.80 : 1,478,996,945.70 = 699,343,499.80 : x
  2. Step 2: Convert to fraction form
    985,997,963.80/1,478,996,945.70 = 699,343,499.80/x
  3. Step 3: Cross multiply
    985,997,963.80x = 1,478,996,945.70 × 699,343,499.80
  4. Step 4: Simplify right side
    985,997,963.80x = 1,034,326,900,199,348,480
  5. Step 5: Solve for x
    x = 1,034,326,900,199,348,480/985,997,963.80
  6. Step 6: Final answer
    x = 1,049,015,249.70

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