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Finding the Fourth Proportional to 943,326,737.10, 1,416,265,564.05 and 598,952,969.10

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Solution

The fourth proportional to 943,326,737.10, 1,416,265,564.05 and 598,952,969.10 is: 899,239,289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,326,737.10 : 1,416,265,564.05 = 598,952,969.10 : x
  2. Step 2: Convert to fraction form
    943,326,737.10/1,416,265,564.05 = 598,952,969.10/x
  3. Step 3: Cross multiply
    943,326,737.10x = 1,416,265,564.05 × 598,952,969.10
  4. Step 4: Simplify right side
    943,326,737.10x = 848,276,464,621,833,728
  5. Step 5: Solve for x
    x = 848,276,464,621,833,728/943,326,737.10
  6. Step 6: Final answer
    x = 899,239,289.27

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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.