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Finding the Fourth Proportional to 569,771,429.10, 854,657,143.65 and 477,938,424.30

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Solution

The fourth proportional to 569,771,429.10, 854,657,143.65 and 477,938,424.30 is: 716,907,636.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,771,429.10 : 854,657,143.65 = 477,938,424.30 : x
  2. Step 2: Convert to fraction form
    569,771,429.10/854,657,143.65 = 477,938,424.30/x
  3. Step 3: Cross multiply
    569,771,429.10x = 854,657,143.65 × 477,938,424.30
  4. Step 4: Simplify right side
    569,771,429.10x = 408,473,488,552,819,776
  5. Step 5: Solve for x
    x = 408,473,488,552,819,776/569,771,429.10
  6. Step 6: Final answer
    x = 716,907,636.45

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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.