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Finding the Fourth Proportional to 430,581,623.40, 645,872,435.10 and 430,581,623.40

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Solution

The fourth proportional to 430,581,623.40, 645,872,435.10 and 430,581,623.40 is: 645,872,435.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,581,623.40 : 645,872,435.10 = 430,581,623.40 : x
  2. Step 2: Convert to fraction form
    430,581,623.40/645,872,435.10 = 430,581,623.40/x
  3. Step 3: Cross multiply
    430,581,623.40x = 645,872,435.10 × 430,581,623.40
  4. Step 4: Simplify right side
    430,581,623.40x = 278,100,801,614,669,152
  5. Step 5: Solve for x
    x = 278,100,801,614,669,152/430,581,623.40
  6. Step 6: Final answer
    x = 645,872,435.10

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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.