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Finding the Fourth Proportional to 52,169,792,562.90, 78,254,688,844.35 and 52,169,792,562.90

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Solution

The fourth proportional to 52,169,792,562.90, 78,254,688,844.35 and 52,169,792,562.90 is: 78,254,688,844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,169,792,562.90 : 78,254,688,844.35 = 52,169,792,562.90 : x
  2. Step 2: Convert to fraction form
    52,169,792,562.90/78,254,688,844.35 = 52,169,792,562.90/x
  3. Step 3: Cross multiply
    52,169,792,562.90x = 78,254,688,844.35 × 52,169,792,562.90
  4. Step 4: Simplify right side
    52,169,792,562.90x = 4,082,530,884,084,024,475,648
  5. Step 5: Solve for x
    x = 4,082,530,884,084,024,475,648/52,169,792,562.90
  6. Step 6: Final answer
    x = 78,254,688,844.35

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1.5x scale

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.