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Finding the Fourth Proportional to 258,766,952.80, 388,038,454.80 and 105,362,024.80

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Solution

The fourth proportional to 258,766,952.80, 388,038,454.80 and 105,362,024.80 is: 157,997,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,766,952.80 : 388,038,454.80 = 105,362,024.80 : x
  2. Step 2: Convert to fraction form
    258,766,952.80/388,038,454.80 = 105,362,024.80/x
  3. Step 3: Cross multiply
    258,766,952.80x = 388,038,454.80 × 105,362,024.80
  4. Step 4: Simplify right side
    258,766,952.80x = 40,884,517,297,991,280
  5. Step 5: Solve for x
    x = 40,884,517,297,991,280/258,766,952.80
  6. Step 6: Final answer
    x = 157,997,444.63

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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.