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Finding the Fourth Proportional to 165,012,430,509.60, 247,518,645,764.40 and 165,012,430,509.60

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Solution

The fourth proportional to 165,012,430,509.60, 247,518,645,764.40 and 165,012,430,509.60 is: 247,518,645,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,012,430,509.60 : 247,518,645,764.40 = 165,012,430,509.60 : x
  2. Step 2: Convert to fraction form
    165,012,430,509.60/247,518,645,764.40 = 165,012,430,509.60/x
  3. Step 3: Cross multiply
    165,012,430,509.60x = 247,518,645,764.40 × 165,012,430,509.60
  4. Step 4: Simplify right side
    165,012,430,509.60x = 40,843,653,334,028,353,798,144
  5. Step 5: Solve for x
    x = 40,843,653,334,028,353,798,144/165,012,430,509.60
  6. Step 6: Final answer
    x = 247,518,645,764.40

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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.