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Finding the Fourth Proportional to 515,994,428.40, 724,432,933.20 and 515,994,428.40

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Solution

The fourth proportional to 515,994,428.40, 724,432,933.20 and 515,994,428.40 is: 724,432,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,994,428.40 : 724,432,933.20 = 515,994,428.40 : x
  2. Step 2: Convert to fraction form
    515,994,428.40/724,432,933.20 = 515,994,428.40/x
  3. Step 3: Cross multiply
    515,994,428.40x = 724,432,933.20 × 515,994,428.40
  4. Step 4: Simplify right side
    515,994,428.40x = 373,803,357,280,669,376
  5. Step 5: Solve for x
    x = 373,803,357,280,669,376/515,994,428.40
  6. Step 6: Final answer
    x = 724,432,933.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.