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Finding the Fourth Proportional to 547,295,656,501.60, 820,943,484,752.40 and 547,295,656,501.60

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Solution

The fourth proportional to 547,295,656,501.60, 820,943,484,752.40 and 547,295,656,501.60 is: 820,943,484,752.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,295,656,501.60 : 820,943,484,752.40 = 547,295,656,501.60 : x
  2. Step 2: Convert to fraction form
    547,295,656,501.60/820,943,484,752.40 = 547,295,656,501.60/x
  3. Step 3: Cross multiply
    547,295,656,501.60x = 820,943,484,752.40 × 547,295,656,501.60
  4. Step 4: Simplify right side
    547,295,656,501.60x = 449,298,803,438,275,983,835,136
  5. Step 5: Solve for x
    x = 449,298,803,438,275,983,835,136/547,295,656,501.60
  6. Step 6: Final answer
    x = 820,943,484,752.40

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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.