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Finding the Fourth Proportional to 497,169,576,031.60, 745,754,364,047.40 and 497,169,576,031.60

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Solution

The fourth proportional to 497,169,576,031.60, 745,754,364,047.40 and 497,169,576,031.60 is: 745,754,364,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,169,576,031.60 : 745,754,364,047.40 = 497,169,576,031.60 : x
  2. Step 2: Convert to fraction form
    497,169,576,031.60/745,754,364,047.40 = 497,169,576,031.60/x
  3. Step 3: Cross multiply
    497,169,576,031.60x = 745,754,364,047.40 × 497,169,576,031.60
  4. Step 4: Simplify right side
    497,169,576,031.60x = 370,766,380,997,161,363,963,904
  5. Step 5: Solve for x
    x = 370,766,380,997,161,363,963,904/497,169,576,031.60
  6. Step 6: Final answer
    x = 745,754,364,047.40

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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.