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Finding the Fourth Proportional to 1,262,833,862.82, 1,742,722,006.80 and 698,356,940.22

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Solution

The fourth proportional to 1,262,833,862.82, 1,742,722,006.80 and 698,356,940.22 is: 963,738,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262,833,862.82 : 1,742,722,006.80 = 698,356,940.22 : x
  2. Step 2: Convert to fraction form
    1,262,833,862.82/1,742,722,006.80 = 698,356,940.22/x
  3. Step 3: Cross multiply
    1,262,833,862.82x = 1,742,722,006.80 × 698,356,940.22
  4. Step 4: Simplify right side
    1,262,833,862.82x = 1,217,042,008,325,559,808
  5. Step 5: Solve for x
    x = 1,217,042,008,325,559,808/1,262,833,862.82
  6. Step 6: Final answer
    x = 963,738,813.28

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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.