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Finding the Fourth Proportional to 497,864,551.40, 746,796,827.10 and 497,864,551.40

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Solution

The fourth proportional to 497,864,551.40, 746,796,827.10 and 497,864,551.40 is: 746,796,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,864,551.40 : 746,796,827.10 = 497,864,551.40 : x
  2. Step 2: Convert to fraction form
    497,864,551.40/746,796,827.10 = 497,864,551.40/x
  3. Step 3: Cross multiply
    497,864,551.40x = 746,796,827.10 × 497,864,551.40
  4. Step 4: Simplify right side
    497,864,551.40x = 371,803,667,311,084,864
  5. Step 5: Solve for x
    x = 371,803,667,311,084,864/497,864,551.40
  6. Step 6: Final answer
    x = 746,796,827.10

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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.