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Finding the Fourth Proportional to 787,968,030.80, 1,104,969,228.40 and 787,968,030.80

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Solution

The fourth proportional to 787,968,030.80, 1,104,969,228.40 and 787,968,030.80 is: 1,104,969,228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,968,030.80 : 1,104,969,228.40 = 787,968,030.80 : x
  2. Step 2: Convert to fraction form
    787,968,030.80/1,104,969,228.40 = 787,968,030.80/x
  3. Step 3: Cross multiply
    787,968,030.80x = 1,104,969,228.40 × 787,968,030.80
  4. Step 4: Simplify right side
    787,968,030.80x = 870,680,426,996,943,488
  5. Step 5: Solve for x
    x = 870,680,426,996,943,488/787,968,030.80
  6. Step 6: Final answer
    x = 1,104,969,228.40

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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.