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Finding the Fourth Proportional to 869,244,980.25, 1,199,870,093.16 and 516,820,130.19

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Solution

The fourth proportional to 869,244,980.25, 1,199,870,093.16 and 516,820,130.19 is: 713,397,295.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,244,980.25 : 1,199,870,093.16 = 516,820,130.19 : x
  2. Step 2: Convert to fraction form
    869,244,980.25/1,199,870,093.16 = 516,820,130.19/x
  3. Step 3: Cross multiply
    869,244,980.25x = 1,199,870,093.16 × 516,820,130.19
  4. Step 4: Simplify right side
    869,244,980.25x = 620,117,017,758,038,656
  5. Step 5: Solve for x
    x = 620,117,017,758,038,656/869,244,980.25
  6. Step 6: Final answer
    x = 713,397,295.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.