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Finding the Fourth Proportional to 601,517,829, 830,094,604.02 and 340,757,445

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Solution

The fourth proportional to 601,517,829, 830,094,604.02 and 340,757,445 is: 470,245,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,517,829 : 830,094,604.02 = 340,757,445 : x
  2. Step 2: Convert to fraction form
    601,517,829/830,094,604.02 = 340,757,445/x
  3. Step 3: Cross multiply
    601,517,829x = 830,094,604.02 × 340,757,445
  4. Step 4: Simplify right side
    601,517,829x = 282,860,916,374,141,920
  5. Step 5: Solve for x
    x = 282,860,916,374,141,920/601,517,829
  6. Step 6: Final answer
    x = 470,245,274.10

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Why These Related Problems?

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