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Finding the Fourth Proportional to 334,676,807.40, 502,015,211.10 and 334,676,807.40

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Solution

The fourth proportional to 334,676,807.40, 502,015,211.10 and 334,676,807.40 is: 502,015,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,676,807.40 : 502,015,211.10 = 334,676,807.40 : x
  2. Step 2: Convert to fraction form
    334,676,807.40/502,015,211.10 = 334,676,807.40/x
  3. Step 3: Cross multiply
    334,676,807.40x = 502,015,211.10 × 334,676,807.40
  4. Step 4: Simplify right side
    334,676,807.40x = 168,012,848,117,185,024
  5. Step 5: Solve for x
    x = 168,012,848,117,185,024/334,676,807.40
  6. Step 6: Final answer
    x = 502,015,211.10

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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.