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Finding the Fourth Proportional to 401,245,655.40, 601,868,483.10 and 401,245,655.40

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Solution

The fourth proportional to 401,245,655.40, 601,868,483.10 and 401,245,655.40 is: 601,868,483.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,245,655.40 : 601,868,483.10 = 401,245,655.40 : x
  2. Step 2: Convert to fraction form
    401,245,655.40/601,868,483.10 = 401,245,655.40/x
  3. Step 3: Cross multiply
    401,245,655.40x = 601,868,483.10 × 401,245,655.40
  4. Step 4: Simplify right side
    401,245,655.40x = 241,497,113,966,063,328
  5. Step 5: Solve for x
    x = 241,497,113,966,063,328/401,245,655.40
  6. Step 6: Final answer
    x = 601,868,483.10

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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.