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Finding the Fourth Proportional to 223,470,612,477.60, 335,205,918,716.40 and 223,470,612,477.60

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Solution

The fourth proportional to 223,470,612,477.60, 335,205,918,716.40 and 223,470,612,477.60 is: 335,205,918,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,470,612,477.60 : 335,205,918,716.40 = 223,470,612,477.60 : x
  2. Step 2: Convert to fraction form
    223,470,612,477.60/335,205,918,716.40 = 223,470,612,477.60/x
  3. Step 3: Cross multiply
    223,470,612,477.60x = 335,205,918,716.40 × 223,470,612,477.60
  4. Step 4: Simplify right side
    223,470,612,477.60x = 74,908,671,961,670,520,668,160
  5. Step 5: Solve for x
    x = 74,908,671,961,670,520,668,160/223,470,612,477.60
  6. Step 6: Final answer
    x = 335,205,918,716.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.