Home / 513,942,638,146.04-709,257,849,720.78-282,464,362,276.84

Finding the Fourth Proportional to 513,942,638,146.04, 709,257,849,720.78 and 282,464,362,276.84

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Solution

The fourth proportional to 513,942,638,146.04, 709,257,849,720.78 and 282,464,362,276.84 is: 389,810,168,181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,942,638,146.04 : 709,257,849,720.78 = 282,464,362,276.84 : x
  2. Step 2: Convert to fraction form
    513,942,638,146.04/709,257,849,720.78 = 282,464,362,276.84/x
  3. Step 3: Cross multiply
    513,942,638,146.04x = 709,257,849,720.78 × 282,464,362,276.84
  4. Step 4: Simplify right side
    513,942,638,146.04x = 200,340,066,211,222,985,375,744
  5. Step 5: Solve for x
    x = 200,340,066,211,222,985,375,744/513,942,638,146.04
  6. Step 6: Final answer
    x = 389,810,168,181.25

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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.