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Finding the Fourth Proportional to 152,597,001,878.17, 228,895,502,817.26 and 152,597,001,878.17

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Solution

The fourth proportional to 152,597,001,878.17, 228,895,502,817.26 and 152,597,001,878.17 is: 228,895,502,817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,597,001,878.17 : 228,895,502,817.26 = 152,597,001,878.17 : x
  2. Step 2: Convert to fraction form
    152,597,001,878.17/228,895,502,817.26 = 152,597,001,878.17/x
  3. Step 3: Cross multiply
    152,597,001,878.17x = 228,895,502,817.26 × 152,597,001,878.17
  4. Step 4: Simplify right side
    152,597,001,878.17x = 34,928,767,473,310,094,065,664
  5. Step 5: Solve for x
    x = 34,928,767,473,310,094,065,664/152,597,001,878.17
  6. Step 6: Final answer
    x = 228,895,502,817.26

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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.