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Finding the Fourth Proportional to 1,834,847,986.58, 2,751,145,569.61 and 713,061,801.06

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Solution

The fourth proportional to 1,834,847,986.58, 2,751,145,569.61 and 713,061,801.06 is: 1,069,154,954.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,847,986.58 : 2,751,145,569.61 = 713,061,801.06 : x
  2. Step 2: Convert to fraction form
    1,834,847,986.58/2,751,145,569.61 = 713,061,801.06/x
  3. Step 3: Cross multiply
    1,834,847,986.58x = 2,751,145,569.61 × 713,061,801.06
  4. Step 4: Simplify right side
    1,834,847,986.58x = 1,961,736,814,830,590,464
  5. Step 5: Solve for x
    x = 1,961,736,814,830,590,464/1,834,847,986.58
  6. Step 6: Final answer
    x = 1,069,154,954.08

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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.