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Finding the Fourth Proportional to 586,590,506.40, 879,885,759.60 and 314,492,714.40

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Solution

The fourth proportional to 586,590,506.40, 879,885,759.60 and 314,492,714.40 is: 471,739,071.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,590,506.40 : 879,885,759.60 = 314,492,714.40 : x
  2. Step 2: Convert to fraction form
    586,590,506.40/879,885,759.60 = 314,492,714.40/x
  3. Step 3: Cross multiply
    586,590,506.40x = 879,885,759.60 × 314,492,714.40
  4. Step 4: Simplify right side
    586,590,506.40x = 276,717,660,898,509,856
  5. Step 5: Solve for x
    x = 276,717,660,898,509,856/586,590,506.40
  6. Step 6: Final answer
    x = 471,739,071.60

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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.