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Finding the Fourth Proportional to 796,936,648.60, 1,100,125,224.84 and 514,816,647.40

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Solution

The fourth proportional to 796,936,648.60, 1,100,125,224.84 and 514,816,647.40 is: 710,674,783.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,936,648.60 : 1,100,125,224.84 = 514,816,647.40 : x
  2. Step 2: Convert to fraction form
    796,936,648.60/1,100,125,224.84 = 514,816,647.40/x
  3. Step 3: Cross multiply
    796,936,648.60x = 1,100,125,224.84 × 514,816,647.40
  4. Step 4: Simplify right side
    796,936,648.60x = 566,362,779,972,299,904
  5. Step 5: Solve for x
    x = 566,362,779,972,299,904/796,936,648.60
  6. Step 6: Final answer
    x = 710,674,783.21

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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.