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Finding the Fourth Proportional to 647,424,297.40, 971,136,446.10 and 572,597,404.60

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Solution

The fourth proportional to 647,424,297.40, 971,136,446.10 and 572,597,404.60 is: 858,896,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,424,297.40 : 971,136,446.10 = 572,597,404.60 : x
  2. Step 2: Convert to fraction form
    647,424,297.40/971,136,446.10 = 572,597,404.60/x
  3. Step 3: Cross multiply
    647,424,297.40x = 971,136,446.10 × 572,597,404.60
  4. Step 4: Simplify right side
    647,424,297.40x = 556,070,208,549,327,808
  5. Step 5: Solve for x
    x = 556,070,208,549,327,808/647,424,297.40
  6. Step 6: Final answer
    x = 858,896,106.90

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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.