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Finding the Fourth Proportional to 72,688,339,710.30, 109,032,509,565.45 and 72,688,339,710.30

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Solution

The fourth proportional to 72,688,339,710.30, 109,032,509,565.45 and 72,688,339,710.30 is: 109,032,509,565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,688,339,710.30 : 109,032,509,565.45 = 72,688,339,710.30 : x
  2. Step 2: Convert to fraction form
    72,688,339,710.30/109,032,509,565.45 = 72,688,339,710.30/x
  3. Step 3: Cross multiply
    72,688,339,710.30x = 109,032,509,565.45 × 72,688,339,710.30
  4. Step 4: Simplify right side
    72,688,339,710.30x = 7,925,392,094,759,963,590,656
  5. Step 5: Solve for x
    x = 7,925,392,094,759,963,590,656/72,688,339,710.30
  6. Step 6: Final answer
    x = 109,032,509,565.45

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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.