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Finding the Fourth Proportional to 970,573,664, 1,455,860,496 and 324,341,408

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Solution

The fourth proportional to 970,573,664, 1,455,860,496 and 324,341,408 is: 486,512,112

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,573,664 : 1,455,860,496 = 324,341,408 : x
  2. Step 2: Convert to fraction form
    970,573,664/1,455,860,496 = 324,341,408/x
  3. Step 3: Cross multiply
    970,573,664x = 1,455,860,496 × 324,341,408
  4. Step 4: Simplify right side
    970,573,664x = 472,195,843,124,218,368
  5. Step 5: Solve for x
    x = 472,195,843,124,218,368/970,573,664
  6. Step 6: Final answer
    x = 486,512,112

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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.