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Finding the Fourth Proportional to 645,872,004.40, 968,808,006.60 and 645,872,004.40

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Solution

The fourth proportional to 645,872,004.40, 968,808,006.60 and 645,872,004.40 is: 968,808,006.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,872,004.40 : 968,808,006.60 = 645,872,004.40 : x
  2. Step 2: Convert to fraction form
    645,872,004.40/968,808,006.60 = 645,872,004.40/x
  3. Step 3: Cross multiply
    645,872,004.40x = 968,808,006.60 × 645,872,004.40
  4. Step 4: Simplify right side
    645,872,004.40x = 625,725,969,101,510,400
  5. Step 5: Solve for x
    x = 625,725,969,101,510,400/645,872,004.40
  6. Step 6: Final answer
    x = 968,808,006.60

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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.