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Finding the Fourth Proportional to 473,502,964.80, 710,254,447.20 and 437,223,259.20

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Solution

The fourth proportional to 473,502,964.80, 710,254,447.20 and 437,223,259.20 is: 655,834,888.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,502,964.80 : 710,254,447.20 = 437,223,259.20 : x
  2. Step 2: Convert to fraction form
    473,502,964.80/710,254,447.20 = 437,223,259.20/x
  3. Step 3: Cross multiply
    473,502,964.80x = 710,254,447.20 × 437,223,259.20
  4. Step 4: Simplify right side
    473,502,964.80x = 310,539,764,266,078,336
  5. Step 5: Solve for x
    x = 310,539,764,266,078,336/473,502,964.80
  6. Step 6: Final answer
    x = 655,834,888.80

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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.