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Finding the Fourth Proportional to 497,668,401.60, 746,502,602.40 and 455,342,078.40

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Solution

The fourth proportional to 497,668,401.60, 746,502,602.40 and 455,342,078.40 is: 683,013,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,668,401.60 : 746,502,602.40 = 455,342,078.40 : x
  2. Step 2: Convert to fraction form
    497,668,401.60/746,502,602.40 = 455,342,078.40/x
  3. Step 3: Cross multiply
    497,668,401.60x = 746,502,602.40 × 455,342,078.40
  4. Step 4: Simplify right side
    497,668,401.60x = 339,914,046,507,824,768
  5. Step 5: Solve for x
    x = 339,914,046,507,824,768/497,668,401.60
  6. Step 6: Final answer
    x = 683,013,117.60

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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.