Finding the Fourth Proportional to 40,756,498,547,766, 61,143,335,003,892 and 13,217,524,639,964
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Solution
The fourth proportional to 40,756,498,547,766, 61,143,335,003,892 and 13,217,524,639,964 is: 19,829,071,823,634.71
Step by Step Solution
- Step 1: Write the proportion equation
40,756,498,547,766 : 61,143,335,003,892 = 13,217,524,639,964 : x - Step 2: Convert to fraction form
40,756,498,547,766/61,143,335,003,892 = 13,217,524,639,964/x - Step 3: Cross multiply
40,756,498,547,766x = 61,143,335,003,892 × 13,217,524,639,964 - Step 4: Simplify right side
40,756,498,547,766x = 808,163,536,983,515,868,128,346,112 - Step 5: Solve for x
x = 808,163,536,983,515,868,128,346,112/40,756,498,547,766 - Step 6: Final answer
x = 19,829,071,823,634.71
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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.