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Finding the Fourth Proportional to 607,431,905,714.65, 910,510,044,888 and 204,375,445,475.85

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Solution

The fourth proportional to 607,431,905,714.65, 910,510,044,888 and 204,375,445,475.85 is: 306,348,570,569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,431,905,714.65 : 910,510,044,888 = 204,375,445,475.85 : x
  2. Step 2: Convert to fraction form
    607,431,905,714.65/910,510,044,888 = 204,375,445,475.85/x
  3. Step 3: Cross multiply
    607,431,905,714.65x = 910,510,044,888 × 204,375,445,475.85
  4. Step 4: Simplify right side
    607,431,905,714.65x = 186,085,896,034,221,171,933,184
  5. Step 5: Solve for x
    x = 186,085,896,034,221,171,933,184/607,431,905,714.65
  6. Step 6: Final answer
    x = 306,348,570,569.88

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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.