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Finding the Fourth Proportional to 401,631,617,459.40, 602,447,426,189.10 and 401,631,617,459.40

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Solution

The fourth proportional to 401,631,617,459.40, 602,447,426,189.10 and 401,631,617,459.40 is: 602,447,426,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,631,617,459.40 : 602,447,426,189.10 = 401,631,617,459.40 : x
  2. Step 2: Convert to fraction form
    401,631,617,459.40/602,447,426,189.10 = 401,631,617,459.40/x
  3. Step 3: Cross multiply
    401,631,617,459.40x = 602,447,426,189.10 × 401,631,617,459.40
  4. Step 4: Simplify right side
    401,631,617,459.40x = 241,961,934,214,580,739,768,320
  5. Step 5: Solve for x
    x = 241,961,934,214,580,739,768,320/401,631,617,459.40
  6. Step 6: Final answer
    x = 602,447,426,189.10

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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.