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Finding the Fourth Proportional to 401,631,617,200.90, 602,447,425,801.35 and 401,631,617,200.90

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Solution

The fourth proportional to 401,631,617,200.90, 602,447,425,801.35 and 401,631,617,200.90 is: 602,447,425,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,631,617,200.90 : 602,447,425,801.35 = 401,631,617,200.90 : x
  2. Step 2: Convert to fraction form
    401,631,617,200.90/602,447,425,801.35 = 401,631,617,200.90/x
  3. Step 3: Cross multiply
    401,631,617,200.90x = 602,447,425,801.35 × 401,631,617,200.90
  4. Step 4: Simplify right side
    401,631,617,200.90x = 241,961,933,903,115,415,715,840
  5. Step 5: Solve for x
    x = 241,961,933,903,115,415,715,840/401,631,617,200.90
  6. Step 6: Final answer
    x = 602,447,425,801.35

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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.