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Finding the Fourth Proportional to 830,628,701.40, 1,245,943,052.10 and 830,628,701.40

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Solution

The fourth proportional to 830,628,701.40, 1,245,943,052.10 and 830,628,701.40 is: 1,245,943,052.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,628,701.40 : 1,245,943,052.10 = 830,628,701.40 : x
  2. Step 2: Convert to fraction form
    830,628,701.40/1,245,943,052.10 = 830,628,701.40/x
  3. Step 3: Cross multiply
    830,628,701.40x = 1,245,943,052.10 × 830,628,701.40
  4. Step 4: Simplify right side
    830,628,701.40x = 1,034,916,059,384,175,488
  5. Step 5: Solve for x
    x = 1,034,916,059,384,175,488/830,628,701.40
  6. Step 6: Final answer
    x = 1,245,943,052.10

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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.