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Finding the Fourth Proportional to 1,309,334,066.64, 1,806,855,399.72 and 714,622,814.01

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Solution

The fourth proportional to 1,309,334,066.64, 1,806,855,399.72 and 714,622,814.01 is: 986,165,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,334,066.64 : 1,806,855,399.72 = 714,622,814.01 : x
  2. Step 2: Convert to fraction form
    1,309,334,066.64/1,806,855,399.72 = 714,622,814.01/x
  3. Step 3: Cross multiply
    1,309,334,066.64x = 1,806,855,399.72 × 714,622,814.01
  4. Step 4: Simplify right side
    1,309,334,066.64x = 1,291,220,090,257,069,824
  5. Step 5: Solve for x
    x = 1,291,220,090,257,069,824/1,309,334,066.64
  6. Step 6: Final answer
    x = 986,165,504.40

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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.