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Finding the Fourth Proportional to 163,723,220,869.20, 245,584,831,303.80 and 163,723,220,869.20

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Solution

The fourth proportional to 163,723,220,869.20, 245,584,831,303.80 and 163,723,220,869.20 is: 245,584,831,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,723,220,869.20 : 245,584,831,303.80 = 163,723,220,869.20 : x
  2. Step 2: Convert to fraction form
    163,723,220,869.20/245,584,831,303.80 = 163,723,220,869.20/x
  3. Step 3: Cross multiply
    163,723,220,869.20x = 245,584,831,303.80 × 163,723,220,869.20
  4. Step 4: Simplify right side
    163,723,220,869.20x = 40,207,939,577,677,271,269,376
  5. Step 5: Solve for x
    x = 40,207,939,577,677,271,269,376/163,723,220,869.20
  6. Step 6: Final answer
    x = 245,584,831,303.80

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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.