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Finding the Fourth Proportional to 301,806,101.40, 452,709,152.10 and 301,806,101.40

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Solution

The fourth proportional to 301,806,101.40, 452,709,152.10 and 301,806,101.40 is: 452,709,152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,806,101.40 : 452,709,152.10 = 301,806,101.40 : x
  2. Step 2: Convert to fraction form
    301,806,101.40/452,709,152.10 = 301,806,101.40/x
  3. Step 3: Cross multiply
    301,806,101.40x = 452,709,152.10 × 301,806,101.40
  4. Step 4: Simplify right side
    301,806,101.40x = 136,630,384,263,400,624
  5. Step 5: Solve for x
    x = 136,630,384,263,400,624/301,806,101.40
  6. Step 6: Final answer
    x = 452,709,152.10

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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.