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Finding the Fourth Proportional to 430,584,476.40, 645,876,714.60 and 430,584,476.40

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Solution

The fourth proportional to 430,584,476.40, 645,876,714.60 and 430,584,476.40 is: 645,876,714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,584,476.40 : 645,876,714.60 = 430,584,476.40 : x
  2. Step 2: Convert to fraction form
    430,584,476.40/645,876,714.60 = 430,584,476.40/x
  3. Step 3: Cross multiply
    430,584,476.40x = 645,876,714.60 × 430,584,476.40
  4. Step 4: Simplify right side
    430,584,476.40x = 278,104,486,974,993,216
  5. Step 5: Solve for x
    x = 278,104,486,974,993,216/430,584,476.40
  6. Step 6: Final answer
    x = 645,876,714.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.