Finding the Fourth Proportional to 1,165,364,712,011.30, 1,608,698,482,383.50 and 726,119,114,810.95
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Solution
The fourth proportional to 1,165,364,712,011.30, 1,608,698,482,383.50 and 726,119,114,810.95 is: 1,002,352,916,633.28
Step by Step Solution
- Step 1: Write the proportion equation
1,165,364,712,011.30 : 1,608,698,482,383.50 = 726,119,114,810.95 : x - Step 2: Convert to fraction form
1,165,364,712,011.30/1,608,698,482,383.50 = 726,119,114,810.95/x - Step 3: Cross multiply
1,165,364,712,011.30x = 1,608,698,482,383.50 × 726,119,114,810.95 - Step 4: Simplify right side
1,165,364,712,011.30x = 1,168,106,718,026,025,519,808,512 - Step 5: Solve for x
x = 1,168,106,718,026,025,519,808,512/1,165,364,712,011.30 - Step 6: Final answer
x = 1,002,352,916,633.28
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.