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Finding the Fourth Proportional to 699,041,878.40, 1,048,562,817.60 and 699,041,878.40

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Solution

The fourth proportional to 699,041,878.40, 1,048,562,817.60 and 699,041,878.40 is: 1,048,562,817.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,041,878.40 : 1,048,562,817.60 = 699,041,878.40 : x
  2. Step 2: Convert to fraction form
    699,041,878.40/1,048,562,817.60 = 699,041,878.40/x
  3. Step 3: Cross multiply
    699,041,878.40x = 1,048,562,817.60 × 699,041,878.40
  4. Step 4: Simplify right side
    699,041,878.40x = 732,989,321,635,500,544
  5. Step 5: Solve for x
    x = 732,989,321,635,500,544/699,041,878.40
  6. Step 6: Final answer
    x = 1,048,562,817.60

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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.