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Finding the Fourth Proportional to 30,911,252,915.40, 46,366,879,373.10 and 30,911,252,915.40

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Solution

The fourth proportional to 30,911,252,915.40, 46,366,879,373.10 and 30,911,252,915.40 is: 46,366,879,373.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,911,252,915.40 : 46,366,879,373.10 = 30,911,252,915.40 : x
  2. Step 2: Convert to fraction form
    30,911,252,915.40/46,366,879,373.10 = 30,911,252,915.40/x
  3. Step 3: Cross multiply
    30,911,252,915.40x = 46,366,879,373.10 × 30,911,252,915.40
  4. Step 4: Simplify right side
    30,911,252,915.40x = 1,433,258,335,199,737,413,632
  5. Step 5: Solve for x
    x = 1,433,258,335,199,737,413,632/30,911,252,915.40
  6. Step 6: Final answer
    x = 46,366,879,373.10

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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.