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Finding the Fourth Proportional to 206,914,094,328.45, 310,371,141,492.68 and 206,914,094,328.45

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Solution

The fourth proportional to 206,914,094,328.45, 310,371,141,492.68 and 206,914,094,328.45 is: 310,371,141,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,914,094,328.45 : 310,371,141,492.68 = 206,914,094,328.45 : x
  2. Step 2: Convert to fraction form
    206,914,094,328.45/310,371,141,492.68 = 206,914,094,328.45/x
  3. Step 3: Cross multiply
    206,914,094,328.45x = 310,371,141,492.68 × 206,914,094,328.45
  4. Step 4: Simplify right side
    206,914,094,328.45x = 64,220,163,647,645,092,413,440
  5. Step 5: Solve for x
    x = 64,220,163,647,645,092,413,440/206,914,094,328.45
  6. Step 6: Final answer
    x = 310,371,141,492.68

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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.