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Finding the Fourth Proportional to 16,166,176,819.20, 24,249,265,228.80 and 16,166,176,819.20

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Solution

The fourth proportional to 16,166,176,819.20, 24,249,265,228.80 and 16,166,176,819.20 is: 24,249,265,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,166,176,819.20 : 24,249,265,228.80 = 16,166,176,819.20 : x
  2. Step 2: Convert to fraction form
    16,166,176,819.20/24,249,265,228.80 = 16,166,176,819.20/x
  3. Step 3: Cross multiply
    16,166,176,819.20x = 24,249,265,228.80 × 16,166,176,819.20
  4. Step 4: Simplify right side
    16,166,176,819.20x = 392,017,909,424,459,153,408
  5. Step 5: Solve for x
    x = 392,017,909,424,459,153,408/16,166,176,819.20
  6. Step 6: Final answer
    x = 24,249,265,228.80

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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.