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Finding the Fourth Proportional to 2,460,357,513,650, 3,690,536,270,475 and 2,460,357,513,650

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Solution

The fourth proportional to 2,460,357,513,650, 3,690,536,270,475 and 2,460,357,513,650 is: 3,690,536,270,475

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460,357,513,650 : 3,690,536,270,475 = 2,460,357,513,650 : x
  2. Step 2: Convert to fraction form
    2,460,357,513,650/3,690,536,270,475 = 2,460,357,513,650/x
  3. Step 3: Cross multiply
    2,460,357,513,650x = 3,690,536,270,475 × 2,460,357,513,650
  4. Step 4: Simplify right side
    2,460,357,513,650x = 9,080,038,642,461,015,118,184,448
  5. Step 5: Solve for x
    x = 9,080,038,642,461,015,118,184,448/2,460,357,513,650
  6. Step 6: Final answer
    x = 3,690,536,270,475

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.