Finding the Fourth Proportional to 893,566,873,903.68, 1,340,341,477,965.60 and 409,383,754,534.32
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Solution
The fourth proportional to 893,566,873,903.68, 1,340,341,477,965.60 and 409,383,754,534.32 is: 614,071,585,051.60
Step by Step Solution
- Step 1: Write the proportion equation
893,566,873,903.68 : 1,340,341,477,965.60 = 409,383,754,534.32 : x - Step 2: Convert to fraction form
893,566,873,903.68/1,340,341,477,965.60 = 409,383,754,534.32/x - Step 3: Cross multiply
893,566,873,903.68x = 1,340,341,477,965.60 × 409,383,754,534.32 - Step 4: Simplify right side
893,566,873,903.68x = 548,714,026,607,636,947,927,040 - Step 5: Solve for x
x = 548,714,026,607,636,947,927,040/893,566,873,903.68 - Step 6: Final answer
x = 614,071,585,051.60
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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.