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Finding the Fourth Proportional to 649,938,866.40, 896,915,635.60 and 371,486,368.64

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Solution

The fourth proportional to 649,938,866.40, 896,915,635.60 and 371,486,368.64 is: 512,651,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,938,866.40 : 896,915,635.60 = 371,486,368.64 : x
  2. Step 2: Convert to fraction form
    649,938,866.40/896,915,635.60 = 371,486,368.64/x
  3. Step 3: Cross multiply
    649,938,866.40x = 896,915,635.60 × 371,486,368.64
  4. Step 4: Simplify right side
    649,938,866.40x = 333,191,932,440,996,928
  5. Step 5: Solve for x
    x = 333,191,932,440,996,928/649,938,866.40
  6. Step 6: Final answer
    x = 512,651,188.70

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Why These Related Problems?

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