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Finding the Fourth Proportional to 14,486,730,547.40, 21,730,095,821.10 and 14,486,730,547.40

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Solution

The fourth proportional to 14,486,730,547.40, 21,730,095,821.10 and 14,486,730,547.40 is: 21,730,095,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,486,730,547.40 : 21,730,095,821.10 = 14,486,730,547.40 : x
  2. Step 2: Convert to fraction form
    14,486,730,547.40/21,730,095,821.10 = 14,486,730,547.40/x
  3. Step 3: Cross multiply
    14,486,730,547.40x = 21,730,095,821.10 × 14,486,730,547.40
  4. Step 4: Simplify right side
    14,486,730,547.40x = 314,798,042,929,458,446,336
  5. Step 5: Solve for x
    x = 314,798,042,929,458,446,336/14,486,730,547.40
  6. Step 6: Final answer
    x = 21,730,095,821.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.