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Finding the Fourth Proportional to 430,638,045.90, 645,957,068.85 and 430,638,045.90

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Solution

The fourth proportional to 430,638,045.90, 645,957,068.85 and 430,638,045.90 is: 645,957,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,638,045.90 : 645,957,068.85 = 430,638,045.90 : x
  2. Step 2: Convert to fraction form
    430,638,045.90/645,957,068.85 = 430,638,045.90/x
  3. Step 3: Cross multiply
    430,638,045.90x = 645,957,068.85 × 430,638,045.90
  4. Step 4: Simplify right side
    430,638,045.90x = 278,173,689,864,855,744
  5. Step 5: Solve for x
    x = 278,173,689,864,855,744/430,638,045.90
  6. Step 6: Final answer
    x = 645,957,068.85

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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.