Home / 513,942,638,169.45-709,257,849,753.06-282,464,362,300.21

Finding the Fourth Proportional to 513,942,638,169.45, 709,257,849,753.06 and 282,464,362,300.21

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Solution

The fourth proportional to 513,942,638,169.45, 709,257,849,753.06 and 282,464,362,300.21 is: 389,810,168,213.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,942,638,169.45 : 709,257,849,753.06 = 282,464,362,300.21 : x
  2. Step 2: Convert to fraction form
    513,942,638,169.45/709,257,849,753.06 = 282,464,362,300.21/x
  3. Step 3: Cross multiply
    513,942,638,169.45x = 709,257,849,753.06 × 282,464,362,300.21
  4. Step 4: Simplify right side
    513,942,638,169.45x = 200,340,066,236,916,285,046,784
  5. Step 5: Solve for x
    x = 200,340,066,236,916,285,046,784/513,942,638,169.45
  6. Step 6: Final answer
    x = 389,810,168,213.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.