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Finding the Fourth Proportional to 430,638,020.40, 645,957,030.60 and 430,638,020.40

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Solution

The fourth proportional to 430,638,020.40, 645,957,030.60 and 430,638,020.40 is: 645,957,030.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,638,020.40 : 645,957,030.60 = 430,638,020.40 : x
  2. Step 2: Convert to fraction form
    430,638,020.40/645,957,030.60 = 430,638,020.40/x
  3. Step 3: Cross multiply
    430,638,020.40x = 645,957,030.60 × 430,638,020.40
  4. Step 4: Simplify right side
    430,638,020.40x = 278,173,656,921,046,208
  5. Step 5: Solve for x
    x = 278,173,656,921,046,208/430,638,020.40
  6. Step 6: Final answer
    x = 645,957,030.60

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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.