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Finding the Fourth Proportional to 586,590,506.90, 879,885,760.35 and 314,492,714.90

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Solution

The fourth proportional to 586,590,506.90, 879,885,760.35 and 314,492,714.90 is: 471,739,072.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,590,506.90 : 879,885,760.35 = 314,492,714.90 : x
  2. Step 2: Convert to fraction form
    586,590,506.90/879,885,760.35 = 314,492,714.90/x
  3. Step 3: Cross multiply
    586,590,506.90x = 879,885,760.35 × 314,492,714.90
  4. Step 4: Simplify right side
    586,590,506.90x = 276,717,661,574,322,272
  5. Step 5: Solve for x
    x = 276,717,661,574,322,272/586,590,506.90
  6. Step 6: Final answer
    x = 471,739,072.35

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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.