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Finding the Fourth Proportional to 16,176,266,077.60, 24,228,119,410.80 and 16,176,266,077.60

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Solution

The fourth proportional to 16,176,266,077.60, 24,228,119,410.80 and 16,176,266,077.60 is: 24,228,119,410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176,266,077.60 : 24,228,119,410.80 = 16,176,266,077.60 : x
  2. Step 2: Convert to fraction form
    16,176,266,077.60/24,228,119,410.80 = 16,176,266,077.60/x
  3. Step 3: Cross multiply
    16,176,266,077.60x = 24,228,119,410.80 × 16,176,266,077.60
  4. Step 4: Simplify right side
    16,176,266,077.60x = 391,920,506,148,966,105,088
  5. Step 5: Solve for x
    x = 391,920,506,148,966,105,088/16,176,266,077.60
  6. Step 6: Final answer
    x = 24,228,119,410.80

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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.