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Finding the Fourth Proportional to 497,736,132.90, 746,604,199.35 and 497,736,132.90

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Solution

The fourth proportional to 497,736,132.90, 746,604,199.35 and 497,736,132.90 is: 746,604,199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,736,132.90 : 746,604,199.35 = 497,736,132.90 : x
  2. Step 2: Convert to fraction form
    497,736,132.90/746,604,199.35 = 497,736,132.90/x
  3. Step 3: Cross multiply
    497,736,132.90x = 746,604,199.35 × 497,736,132.90
  4. Step 4: Simplify right side
    497,736,132.90x = 371,611,886,991,369,664
  5. Step 5: Solve for x
    x = 371,611,886,991,369,664/497,736,132.90
  6. Step 6: Final answer
    x = 746,604,199.35

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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.