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Finding the Fourth Proportional to 160,192,653.60, 224,779,898.40 and 160,192,653.60

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Solution

The fourth proportional to 160,192,653.60, 224,779,898.40 and 160,192,653.60 is: 224,779,898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,192,653.60 : 224,779,898.40 = 160,192,653.60 : x
  2. Step 2: Convert to fraction form
    160,192,653.60/224,779,898.40 = 160,192,653.60/x
  3. Step 3: Cross multiply
    160,192,653.60x = 224,779,898.40 × 160,192,653.60
  4. Step 4: Simplify right side
    160,192,653.60x = 36,008,088,400,634,392
  5. Step 5: Solve for x
    x = 36,008,088,400,634,392/160,192,653.60
  6. Step 6: Final answer
    x = 224,779,898.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.