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Finding the Fourth Proportional to 497,668,281.60, 746,502,422.40 and 225,570,489.60

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Solution

The fourth proportional to 497,668,281.60, 746,502,422.40 and 225,570,489.60 is: 338,355,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,668,281.60 : 746,502,422.40 = 225,570,489.60 : x
  2. Step 2: Convert to fraction form
    497,668,281.60/746,502,422.40 = 225,570,489.60/x
  3. Step 3: Cross multiply
    497,668,281.60x = 746,502,422.40 × 225,570,489.60
  4. Step 4: Simplify right side
    497,668,281.60x = 168,388,916,908,353,984
  5. Step 5: Solve for x
    x = 168,388,916,908,353,984/497,668,281.60
  6. Step 6: Final answer
    x = 338,355,734.40

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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.