Home / 513,942,638,159.04-709,257,849,738.60-282,464,362,289.76

Finding the Fourth Proportional to 513,942,638,159.04, 709,257,849,738.60 and 282,464,362,289.76

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Solution

The fourth proportional to 513,942,638,159.04, 709,257,849,738.60 and 282,464,362,289.76 is: 389,810,168,199.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,942,638,159.04 : 709,257,849,738.60 = 282,464,362,289.76 : x
  2. Step 2: Convert to fraction form
    513,942,638,159.04/709,257,849,738.60 = 282,464,362,289.76/x
  3. Step 3: Cross multiply
    513,942,638,159.04x = 709,257,849,738.60 × 282,464,362,289.76
  4. Step 4: Simplify right side
    513,942,638,159.04x = 200,340,066,225,420,066,881,536
  5. Step 5: Solve for x
    x = 200,340,066,225,420,066,881,536/513,942,638,159.04
  6. Step 6: Final answer
    x = 389,810,168,199.01

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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.