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Finding the Fourth Proportional to 334,667,304,005.60, 502,000,956,008.40 and 334,667,304,005.60

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Solution

The fourth proportional to 334,667,304,005.60, 502,000,956,008.40 and 334,667,304,005.60 is: 502,000,956,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,667,304,005.60 : 502,000,956,008.40 = 334,667,304,005.60 : x
  2. Step 2: Convert to fraction form
    334,667,304,005.60/502,000,956,008.40 = 334,667,304,005.60/x
  3. Step 3: Cross multiply
    334,667,304,005.60x = 502,000,956,008.40 × 334,667,304,005.60
  4. Step 4: Simplify right side
    334,667,304,005.60x = 168,003,306,555,565,018,185,728
  5. Step 5: Solve for x
    x = 168,003,306,555,565,018,185,728/334,667,304,005.60
  6. Step 6: Final answer
    x = 502,000,956,008.40

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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.