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Finding the Fourth Proportional to 796,936,647.60, 1,100,125,223.46 and 514,816,646.40

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Solution

The fourth proportional to 796,936,647.60, 1,100,125,223.46 and 514,816,646.40 is: 710,674,781.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,936,647.60 : 1,100,125,223.46 = 514,816,646.40 : x
  2. Step 2: Convert to fraction form
    796,936,647.60/1,100,125,223.46 = 514,816,646.40/x
  3. Step 3: Cross multiply
    796,936,647.60x = 1,100,125,223.46 × 514,816,646.40
  4. Step 4: Simplify right side
    796,936,647.60x = 566,362,778,161,727,808
  5. Step 5: Solve for x
    x = 566,362,778,161,727,808/796,936,647.60
  6. Step 6: Final answer
    x = 710,674,781.83

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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.