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Finding the Fourth Proportional to 782,598,052.60, 1,097,249,705 and 782,598,052.60

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Solution

The fourth proportional to 782,598,052.60, 1,097,249,705 and 782,598,052.60 is: 1,097,249,705

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,598,052.60 : 1,097,249,705 = 782,598,052.60 : x
  2. Step 2: Convert to fraction form
    782,598,052.60/1,097,249,705 = 782,598,052.60/x
  3. Step 3: Cross multiply
    782,598,052.60x = 1,097,249,705 × 782,598,052.60
  4. Step 4: Simplify right side
    782,598,052.60x = 858,705,482,348,924,544
  5. Step 5: Solve for x
    x = 858,705,482,348,924,544/782,598,052.60
  6. Step 6: Final answer
    x = 1,097,249,705

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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.