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Finding the Fourth Proportional to 531,574,582.20, 742,390,429.80 and 531,574,582.20

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Solution

The fourth proportional to 531,574,582.20, 742,390,429.80 and 531,574,582.20 is: 742,390,429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,574,582.20 : 742,390,429.80 = 531,574,582.20 : x
  2. Step 2: Convert to fraction form
    531,574,582.20/742,390,429.80 = 531,574,582.20/x
  3. Step 3: Cross multiply
    531,574,582.20x = 742,390,429.80 × 531,574,582.20
  4. Step 4: Simplify right side
    531,574,582.20x = 394,635,882,550,213,376
  5. Step 5: Solve for x
    x = 394,635,882,550,213,376/531,574,582.20
  6. Step 6: Final answer
    x = 742,390,429.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.