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Finding the Fourth Proportional to 601,078,901.40, 901,618,352.10 and 601,078,901.40

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Solution

The fourth proportional to 601,078,901.40, 901,618,352.10 and 601,078,901.40 is: 901,618,352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,078,901.40 : 901,618,352.10 = 601,078,901.40 : x
  2. Step 2: Convert to fraction form
    601,078,901.40/901,618,352.10 = 601,078,901.40/x
  3. Step 3: Cross multiply
    601,078,901.40x = 901,618,352.10 × 601,078,901.40
  4. Step 4: Simplify right side
    601,078,901.40x = 541,943,768,562,346,368
  5. Step 5: Solve for x
    x = 541,943,768,562,346,368/601,078,901.40
  6. Step 6: Final answer
    x = 901,618,352.10

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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.