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Finding the Fourth Proportional to 497,668,441.60, 746,502,662.40 and 152,675,315.20

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Solution

The fourth proportional to 497,668,441.60, 746,502,662.40 and 152,675,315.20 is: 229,012,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,668,441.60 : 746,502,662.40 = 152,675,315.20 : x
  2. Step 2: Convert to fraction form
    497,668,441.60/746,502,662.40 = 152,675,315.20/x
  3. Step 3: Cross multiply
    497,668,441.60x = 746,502,662.40 × 152,675,315.20
  4. Step 4: Simplify right side
    497,668,441.60x = 113,972,529,279,559,168
  5. Step 5: Solve for x
    x = 113,972,529,279,559,168/497,668,441.60
  6. Step 6: Final answer
    x = 229,012,972.80

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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.