Finding the Fourth Proportional to 40,756,498,547,850, 61,143,335,004,012 and 13,217,524,640,046
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Solution
The fourth proportional to 40,756,498,547,850, 61,143,335,004,012 and 13,217,524,640,046 is: 19,829,071,823,755.78
Step by Step Solution
- Step 1: Write the proportion equation
40,756,498,547,850 : 61,143,335,004,012 = 13,217,524,640,046 : x - Step 2: Convert to fraction form
40,756,498,547,850/61,143,335,004,012 = 13,217,524,640,046/x - Step 3: Cross multiply
40,756,498,547,850x = 61,143,335,004,012 × 13,217,524,640,046 - Step 4: Simplify right side
40,756,498,547,850x = 808,163,536,990,115,686,674,071,552 - Step 5: Solve for x
x = 808,163,536,990,115,686,674,071,552/40,756,498,547,850 - Step 6: Final answer
x = 19,829,071,823,755.78
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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.