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Finding the Fourth Proportional to 705,205,608.60, 1,057,808,412.90 and 511,713,845.40

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Solution

The fourth proportional to 705,205,608.60, 1,057,808,412.90 and 511,713,845.40 is: 767,570,768.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,205,608.60 : 1,057,808,412.90 = 511,713,845.40 : x
  2. Step 2: Convert to fraction form
    705,205,608.60/1,057,808,412.90 = 511,713,845.40/x
  3. Step 3: Cross multiply
    705,205,608.60x = 1,057,808,412.90 × 511,713,845.40
  4. Step 4: Simplify right side
    705,205,608.60x = 541,295,210,661,529,920
  5. Step 5: Solve for x
    x = 541,295,210,661,529,920/705,205,608.60
  6. Step 6: Final answer
    x = 767,570,768.10

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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.