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Finding the Fourth Proportional to 647,424,300.40, 971,136,450.60 and 572,597,407.60

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Solution

The fourth proportional to 647,424,300.40, 971,136,450.60 and 572,597,407.60 is: 858,896,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,424,300.40 : 971,136,450.60 = 572,597,407.60 : x
  2. Step 2: Convert to fraction form
    647,424,300.40/971,136,450.60 = 572,597,407.60/x
  3. Step 3: Cross multiply
    647,424,300.40x = 971,136,450.60 × 572,597,407.60
  4. Step 4: Simplify right side
    647,424,300.40x = 556,070,214,039,425,472
  5. Step 5: Solve for x
    x = 556,070,214,039,425,472/647,424,300.40
  6. Step 6: Final answer
    x = 858,896,111.40

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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.