Home / 513,942,638,161.04-709,257,849,741.36-282,464,362,291.76

Finding the Fourth Proportional to 513,942,638,161.04, 709,257,849,741.36 and 282,464,362,291.76

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Solution

The fourth proportional to 513,942,638,161.04, 709,257,849,741.36 and 282,464,362,291.76 is: 389,810,168,201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,942,638,161.04 : 709,257,849,741.36 = 282,464,362,291.76 : x
  2. Step 2: Convert to fraction form
    513,942,638,161.04/709,257,849,741.36 = 282,464,362,291.76/x
  3. Step 3: Cross multiply
    513,942,638,161.04x = 709,257,849,741.36 × 282,464,362,291.76
  4. Step 4: Simplify right side
    513,942,638,161.04x = 200,340,066,227,618,184,167,424
  5. Step 5: Solve for x
    x = 200,340,066,227,618,184,167,424/513,942,638,161.04
  6. Step 6: Final answer
    x = 389,810,168,201.77

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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.