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Finding the Fourth Proportional to 9,133,640,547.10, 12,759,546,864.50 and 9,133,640,547.10

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Solution

The fourth proportional to 9,133,640,547.10, 12,759,546,864.50 and 9,133,640,547.10 is: 12,759,546,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133,640,547.10 : 12,759,546,864.50 = 9,133,640,547.10 : x
  2. Step 2: Convert to fraction form
    9,133,640,547.10/12,759,546,864.50 = 9,133,640,547.10/x
  3. Step 3: Cross multiply
    9,133,640,547.10x = 12,759,546,864.50 × 9,133,640,547.10
  4. Step 4: Simplify right side
    9,133,640,547.10x = 116,541,114,604,219,875,328
  5. Step 5: Solve for x
    x = 116,541,114,604,219,875,328/9,133,640,547.10
  6. Step 6: Final answer
    x = 12,759,546,864.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.