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Finding the Fourth Proportional to 718,607,822.40, 1,075,896,194.40 and 698,452,430.40

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Solution

The fourth proportional to 718,607,822.40, 1,075,896,194.40 and 698,452,430.40 is: 1,045,719,637.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,607,822.40 : 1,075,896,194.40 = 698,452,430.40 : x
  2. Step 2: Convert to fraction form
    718,607,822.40/1,075,896,194.40 = 698,452,430.40/x
  3. Step 3: Cross multiply
    718,607,822.40x = 1,075,896,194.40 × 698,452,430.40
  4. Step 4: Simplify right side
    718,607,822.40x = 751,462,311,836,790,912
  5. Step 5: Solve for x
    x = 751,462,311,836,790,912/718,607,822.40
  6. Step 6: Final answer
    x = 1,045,719,637.91

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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.