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Finding the Fourth Proportional to 702,627,465.40, 969,592,639.24 and 420,525,337.58

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Solution

The fourth proportional to 702,627,465.40, 969,592,639.24 and 420,525,337.58 is: 580,305,057.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,627,465.40 : 969,592,639.24 = 420,525,337.58 : x
  2. Step 2: Convert to fraction form
    702,627,465.40/969,592,639.24 = 420,525,337.58/x
  3. Step 3: Cross multiply
    702,627,465.40x = 969,592,639.24 × 420,525,337.58
  4. Step 4: Simplify right side
    702,627,465.40x = 407,738,271,934,433,792
  5. Step 5: Solve for x
    x = 407,738,271,934,433,792/702,627,465.40
  6. Step 6: Final answer
    x = 580,305,057.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.