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Finding the Fourth Proportional to 16,176,025,908.35, 24,264,038,862.53 and 16,176,025,908.35

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Solution

The fourth proportional to 16,176,025,908.35, 24,264,038,862.53 and 16,176,025,908.35 is: 24,264,038,862.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176,025,908.35 : 24,264,038,862.53 = 16,176,025,908.35 : x
  2. Step 2: Convert to fraction form
    16,176,025,908.35/24,264,038,862.53 = 16,176,025,908.35/x
  3. Step 3: Cross multiply
    16,176,025,908.35x = 24,264,038,862.53 × 16,176,025,908.35
  4. Step 4: Simplify right side
    16,176,025,908.35x = 392,495,721,281,496,547,328
  5. Step 5: Solve for x
    x = 392,495,721,281,496,547,328/16,176,025,908.35
  6. Step 6: Final answer
    x = 24,264,038,862.53

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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.