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Finding the Fourth Proportional to 705,298,377.60, 1,057,947,566.40 and 705,298,377.60

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Solution

The fourth proportional to 705,298,377.60, 1,057,947,566.40 and 705,298,377.60 is: 1,057,947,566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,298,377.60 : 1,057,947,566.40 = 705,298,377.60 : x
  2. Step 2: Convert to fraction form
    705,298,377.60/1,057,947,566.40 = 705,298,377.60/x
  3. Step 3: Cross multiply
    705,298,377.60x = 1,057,947,566.40 × 705,298,377.60
  4. Step 4: Simplify right side
    705,298,377.60x = 746,168,702,167,788,288
  5. Step 5: Solve for x
    x = 746,168,702,167,788,288/705,298,377.60
  6. Step 6: Final answer
    x = 1,057,947,566.40

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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.