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Finding the Fourth Proportional to 16,176,025,866.85, 24,264,038,800.28 and 16,176,025,866.85

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Solution

The fourth proportional to 16,176,025,866.85, 24,264,038,800.28 and 16,176,025,866.85 is: 24,264,038,800.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176,025,866.85 : 24,264,038,800.28 = 16,176,025,866.85 : x
  2. Step 2: Convert to fraction form
    16,176,025,866.85/24,264,038,800.28 = 16,176,025,866.85/x
  3. Step 3: Cross multiply
    16,176,025,866.85x = 24,264,038,800.28 × 16,176,025,866.85
  4. Step 4: Simplify right side
    16,176,025,866.85x = 392,495,719,267,500,490,752
  5. Step 5: Solve for x
    x = 392,495,719,267,500,490,752/16,176,025,866.85
  6. Step 6: Final answer
    x = 24,264,038,800.28

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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.