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Finding the Fourth Proportional to 340,111,624,452.90, 510,167,436,679.35 and 340,111,624,452.90

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Solution

The fourth proportional to 340,111,624,452.90, 510,167,436,679.35 and 340,111,624,452.90 is: 510,167,436,679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,111,624,452.90 : 510,167,436,679.35 = 340,111,624,452.90 : x
  2. Step 2: Convert to fraction form
    340,111,624,452.90/510,167,436,679.35 = 340,111,624,452.90/x
  3. Step 3: Cross multiply
    340,111,624,452.90x = 510,167,436,679.35 × 340,111,624,452.90
  4. Step 4: Simplify right side
    340,111,624,452.90x = 173,513,875,631,985,748,082,688
  5. Step 5: Solve for x
    x = 173,513,875,631,985,748,082,688/340,111,624,452.90
  6. Step 6: Final answer
    x = 510,167,436,679.35

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1.5x scale

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.