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Finding the Fourth Proportional to 943,326,728.10, 1,416,265,550.55 and 598,952,960.10

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Solution

The fourth proportional to 943,326,728.10, 1,416,265,550.55 and 598,952,960.10 is: 899,239,275.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,326,728.10 : 1,416,265,550.55 = 598,952,960.10 : x
  2. Step 2: Convert to fraction form
    943,326,728.10/1,416,265,550.55 = 598,952,960.10/x
  3. Step 3: Cross multiply
    943,326,728.10x = 1,416,265,550.55 × 598,952,960.10
  4. Step 4: Simplify right side
    943,326,728.10x = 848,276,443,789,578,752
  5. Step 5: Solve for x
    x = 848,276,443,789,578,752/943,326,728.10
  6. Step 6: Final answer
    x = 899,239,275.77

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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.