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Finding the Fourth Proportional to 148,980,408,059.65, 223,470,612,089.47 and 148,980,408,059.65

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Solution

The fourth proportional to 148,980,408,059.65, 223,470,612,089.47 and 148,980,408,059.65 is: 223,470,612,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,980,408,059.65 : 223,470,612,089.47 = 148,980,408,059.65 : x
  2. Step 2: Convert to fraction form
    148,980,408,059.65/223,470,612,089.47 = 148,980,408,059.65/x
  3. Step 3: Cross multiply
    148,980,408,059.65x = 223,470,612,089.47 × 148,980,408,059.65
  4. Step 4: Simplify right side
    148,980,408,059.65x = 33,292,742,978,428,995,633,152
  5. Step 5: Solve for x
    x = 33,292,742,978,428,995,633,152/148,980,408,059.65
  6. Step 6: Final answer
    x = 223,470,612,089.47

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1.5x scale

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.