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Finding the Fourth Proportional to 353,868,809.40, 530,803,214.10 and 200,813,801.40

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Solution

The fourth proportional to 353,868,809.40, 530,803,214.10 and 200,813,801.40 is: 301,220,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,868,809.40 : 530,803,214.10 = 200,813,801.40 : x
  2. Step 2: Convert to fraction form
    353,868,809.40/530,803,214.10 = 200,813,801.40/x
  3. Step 3: Cross multiply
    353,868,809.40x = 530,803,214.10 × 200,813,801.40
  4. Step 4: Simplify right side
    353,868,809.40x = 106,592,611,218,759,088
  5. Step 5: Solve for x
    x = 106,592,611,218,759,088/353,868,809.40
  6. Step 6: Final answer
    x = 301,220,702.10

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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.