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Finding the Fourth Proportional to 505,506,802.80, 757,126,463.40 and 505,506,802.80

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Solution

The fourth proportional to 505,506,802.80, 757,126,463.40 and 505,506,802.80 is: 757,126,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,506,802.80 : 757,126,463.40 = 505,506,802.80 : x
  2. Step 2: Convert to fraction form
    505,506,802.80/757,126,463.40 = 505,506,802.80/x
  3. Step 3: Cross multiply
    505,506,802.80x = 757,126,463.40 × 505,506,802.80
  4. Step 4: Simplify right side
    505,506,802.80x = 382,732,577,828,605,184
  5. Step 5: Solve for x
    x = 382,732,577,828,605,184/505,506,802.80
  6. Step 6: Final answer
    x = 757,126,463.40

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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.