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Finding the Fourth Proportional to 334,686,075.40, 502,029,113.10 and 334,686,075.40

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Solution

The fourth proportional to 334,686,075.40, 502,029,113.10 and 334,686,075.40 is: 502,029,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,686,075.40 : 502,029,113.10 = 334,686,075.40 : x
  2. Step 2: Convert to fraction form
    334,686,075.40/502,029,113.10 = 334,686,075.40/x
  3. Step 3: Cross multiply
    334,686,075.40x = 502,029,113.10 × 334,686,075.40
  4. Step 4: Simplify right side
    334,686,075.40x = 168,022,153,599,981,728
  5. Step 5: Solve for x
    x = 168,022,153,599,981,728/334,686,075.40
  6. Step 6: Final answer
    x = 502,029,113.10

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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.