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Finding the Fourth Proportional to 851,828,652.84, 1,175,524,325.28 and 460,688,076.84

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Solution

The fourth proportional to 851,828,652.84, 1,175,524,325.28 and 460,688,076.84 is: 635,749,970.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,828,652.84 : 1,175,524,325.28 = 460,688,076.84 : x
  2. Step 2: Convert to fraction form
    851,828,652.84/1,175,524,325.28 = 460,688,076.84/x
  3. Step 3: Cross multiply
    851,828,652.84x = 1,175,524,325.28 × 460,688,076.84
  4. Step 4: Simplify right side
    851,828,652.84x = 541,550,040,691,881,728
  5. Step 5: Solve for x
    x = 541,550,040,691,881,728/851,828,652.84
  6. Step 6: Final answer
    x = 635,749,970.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.