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Finding the Fourth Proportional to 223,470,612,101.47, 335,205,918,152.21 and 223,470,612,101.47

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Solution

The fourth proportional to 223,470,612,101.47, 335,205,918,152.21 and 223,470,612,101.47 is: 335,205,918,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,470,612,101.47 : 335,205,918,152.21 = 223,470,612,101.47 : x
  2. Step 2: Convert to fraction form
    223,470,612,101.47/335,205,918,152.21 = 223,470,612,101.47/x
  3. Step 3: Cross multiply
    223,470,612,101.47x = 335,205,918,152.21 × 223,470,612,101.47
  4. Step 4: Simplify right side
    223,470,612,101.47x = 74,908,671,709,509,626,888,192
  5. Step 5: Solve for x
    x = 74,908,671,709,509,626,888,192/223,470,612,101.47
  6. Step 6: Final answer
    x = 335,205,918,152.21

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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.